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Fakultäten
(102029)
Mathematik, Informatik und Statistik
(4808)
Mathematik
(1132)
Analysis, Mathematische Physik und Numerik
(67)
Gruppiert nach:
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Anzahl der Publikationen auf dieser Ebene:
67
2024
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Sukochev, Fedor
und
Zanin, Dmitriy
(2024):
Endpoint Schatten class properties of commutators.
In: Advances in Mathematics, Bd. 450, 109738
[PDF, 775kB]
2023
Christiansen, Martin Ravn
;
Hainzl, Christian
ORCID: https://orcid.org/0000-0002-9772-7323
und
Nam, Phan Thành
(2023):
The Gell-Mann–Brueckner Formula for the Correlation Energy of the Electron Gas: A Rigorous Upper Bound in the Mean-Field Regime.
In: Communications in Mathematical Physics, Bd. 401, Nr. 2: S. 1469-1529
[PDF, 782kB]
Christiansen, Martin Ravn
;
Hainzl, Christian
ORCID: https://orcid.org/0000-0002-9772-7323
und
Nam, Phan Thành
(2023):
The Random Phase Approximation for Interacting Fermi Gases in the Mean-Field Regime.
In: Forum of Mathematics, Pi, Bd. 11, e32
[PDF, 1MB]
Müller, Peter
ORCID: https://orcid.org/0000-0002-3063-9636
und
Schulte, Ruth
(2023):
Stability of a Szegő-type asymptotics.
In: Journal of Mathematical Physics, Bd. 64, Nr. 2, 022101
[PDF, 4MB]
2022
Borichev, Alexander
;
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Volberg, Alexander
(2022):
Counting eigenvalues of Schrodinger operators with fast decaying complex potentials.
In: Advances in Mathematics, Bd. 397, 108115
Carrillo, J. A.
;
Delgadino, M. G.
;
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Lewin, M.
(2022):
Fast Diffusion leads to partial mass concentration in Keller-Segel type stationary solutions.
In: Mathematical Models & Methods in Applied Sciences, Bd. 32, Nr. 4: S. 831-850
Christiansen, Martin Ravn
;
Hainzl, Christian
ORCID: https://orcid.org/0000-0002-9772-7323
und
Nam, Phan Thanh
(2022):
On the effective quasi-bosonic Hamiltonian of the electron gas: collective excitations and plasmon modes.
In: Letters in Mathematical Physics, Bd. 112, Nr. 6
[PDF, 559kB]
Duell, Maximilian
;
Hainzl, Christian
ORCID: https://orcid.org/0000-0002-9772-7323
und
Hamza, Eman
(2022):
Enhanced pairing mechanism in cuprate-type crystals.
In: Physical Review B, Bd. 106, Nr. 5, 54509
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
(2022):
Degenerate stability of some Sobolev inequalities.
In: Annales De L'Institut Henri Poincaré (C): Non Linear Analysis, Bd. 39, Nr. 6: S. 1459-1484
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
(2022):
Minimizers for a one-dimensional interaction energy.
In: Nonlinear Analysis - Theory Methods & Applications, Bd. 216, 112691
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Konig, Tobias
und
Tang, Hanli
(2022):
Reverse conformally invariant Sobolev inequalities on the sphere.
In: Journal of Functional Analysis, Bd. 282, Nr. 4, 109339
Hainzl, Christian
ORCID: https://orcid.org/0000-0002-9772-7323
;
Roos, Barbara
und
Seiringer, Robert
(2022):
Boundary superconductivity in the BCS Model.
In: Journal of Spectral Theory, Bd. 12, Nr. 4: S. 1507-1540
Hainzl, Christian
ORCID: https://orcid.org/0000-0002-9772-7323
;
Schlein, Benjamin
ORCID: https://orcid.org/0000-0003-0910-9136
und
Triay, Arnaud
ORCID: https://orcid.org/0000-0001-5386-461X
(2022):
Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach.
In: Forum of Mathematics, Sigma, Bd. 10, Nr. e90: S. 1-39
[PDF, 665kB]
Müller, Peter
ORCID: https://orcid.org/0000-0002-3063-9636
und
Rojas-Molina, Constanza
(2022):
Localisation for Delone operators via Bernoulli randomisation.
In: Journal D'Analyse Mathématique, Bd. 147, Nr. 1: S. 297-331
Nam, Phan Thanh
;
Ricaud, Julien
und
Triay, Arnaud
ORCID: https://orcid.org/0000-0001-5386-461X
(2022):
Dilute Bose gas with three-body interaction: Recent results and open questions.
In: Journal of Mathematical Physics, Bd. 63, Nr. 6, 61103
Nam, Phan Thanh
;
Ricaud, Julien
und
Triay, Arnaud
ORCID: https://orcid.org/0000-0001-5386-461X
(2022):
Ground state energy of the low density Bose gas with three-body interactions.
In: Journal of Mathematical Physics, Bd. 63, Nr. 7, 71903
2021
Dolbeault, Jean
;
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Jeanjean, Louis
(2021):
Logarithmic estimates for mean-field models in dimension two and the Schrodinger-Poisson system.
In: Comptes Rendus Mathematique, Bd. 359, Nr. 10: S. 1279-1293
Falconi, Marco
;
Giacomelli, Emanuela L.
;
Hainzl, Christian
ORCID: https://orcid.org/0000-0002-9772-7323
und
Porta, Marcello
(2021):
The Dilute Fermi Gas via Bogoliubov Theory.
In: Annales Henri Poincare, Bd. 22, Nr. 7: S. 2283-2353
Fournais, Søren
und
Sørensen, Thomas Østergaard
(2021):
Estimates on derivatives of Coulombic wave functions and their electron densities.
In: Journal für die Reine und Angewandte Mathematik, Bd. 775: S. 1-38
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Gontier, David
und
Lewin, Mathieu
(2021):
The Nonlinear Schrodinger Equation for Orthonormal Functions II: Application to Lieb-Thirring Inequalities.
In: Communications in Mathematical Physics, Bd. 384, Nr. 3: S. 1783-1828
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Hundertmark, Dirk
;
Jex, Michal
und
Phan, Thanh Nam
(2021):
The Lieb-Thirring inequality revisited.
In: Journal of the European Mathematical Society, Bd. 23, Nr. 8: S. 2583-2600
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Ivanisvili, Paata
(2021):
Hypercontractivity of the semigroup of the fractional Laplacianon the n-sphere.
In: Journal of Functional Analysis, Bd. 281, Nr. 8, 109145
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Kim, Seunghyeok
und
Pistoia, Angela
(2021):
NON-DEGENERACY FOR THE CRITICAL LANE-EMDEN SYSTEM.
In: Proceedings of the American Mathematical Society, Bd. 149, Nr. 1: S. 265-278
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Konig, Tobias
und
Kovarik, Hynek
(2021):
Energy asymptotics in the three-dimensional Brezis-Nirenberg problem.
In: Calculus of Variations and Partial Differential Equations, Bd. 60, Nr. 2, 58
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Larson, S.
(2021):
Two Consequences of Davies' Hardy Inequality.
In: Functional Analysis and Its Applications, Bd. 55, Nr. 2: S. 174-177
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Lieb, Elliott H.
(2021):
Proof of spherical flocking based on quantitative rearrangement inequalities.
In: Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze, Bd. 22, Nr. 3: S. 1241-1263
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Merz, Konstantin
und
Siedentop, Heinz
(2021):
Equivalence of Sobolev Norms Involving Generalized Hardy Operators.
In: International Mathematics Research Notices, Bd. 2021, Nr. 3: S. 2284-2303
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Nam, Phan Thành
(2021):
Existence and nonexistence in the liquid drop model.
In: Calculus of Variations and Partial Differential Equations, Bd. 60, 223
[PDF, 379kB]
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Phan, Thanh Nam
(2021):
Existence and nonexistence in the liquid drop model.
In: Calculus of Variations and Partial Differential Equations, Bd. 60, Nr. 6, 223
Phan Thanh, Nam
ORCID: https://orcid.org/0000-0001-7599-9742
und
Napiorkowski, Marcin
(2021):
Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas.
In: Calculus of Variations and Partial Differential Equations, Bd. 60, Nr. 3, 99
2020
Borrelli, William
und
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
(2020):
Sharp decay estimates for critical dirac equations.
In: Transactions of the American Mathematical Society, Bd. 373, Nr. 3: S. 2045-2070
Carlen, Eric A.
;
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Ivanisvili, Paata
und
Lieb, Elliott H.
(2020):
Inequalities for Lp-Norms that Sharpen the Triangle Inequality and Complement Hanner's Inequality.
In: Journal of Geometric Analysis, Bd. 31: S. 4051-4073
[PDF, 730kB]
Carlen, Eric A.
;
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Lieb, Elliott H.
(2020):
Inequalities that sharpen the triangle inequality for sums of N functions in L-p.
In: Arkiv for Matematik, Bd. 58, Nr. 1: S. 57-69
Emmert, Lukas
;
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
König, Tobias
(2020):
Liquid Drop Model for Nuclear Matter in the Dilute Limit.
In: Siam Journal on Mathematical Analysis, Bd. 52, Nr. 2: S. 1980-1999
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
König, Tobias
und
Kovarik, Hynek
(2020):
Energy asymptotics in the Brezis-Nirenberg problem: The higher-dimensional case.
In: Mathematics in Engineering, Bd. 2, Nr. 1: S. 119-140
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
König, Tobias
und
Tang, Hanli
(2020):
Classification of solutions of an equation related to a conformal log Sobolev inequality.
In: Advances in Mathematics, Bd. 375, 107395
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Larson, Simon
(2020):
On the error in the two-term Weyl formula for the Dirichlet Laplacian.
In: Journal of Mathematical Physics, Bd. 61, Nr. 4
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Larson, Simon
(2020):
Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain.
In: Journal für die Reine und Angewandte Mathematik, Bd. 766: S. 195-228
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Seiringer, Robert
(2020):
Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.
In: Communications on Pure and Applied Mathematics, Bd. 74, Nr. 3: S. 544-588
Müller, Peter
ORCID: https://orcid.org/0000-0002-3063-9636
;
Pastur, Leonid
und
Schulte, Ruth
(2020):
How Much Delocalisation is Needed for an Enhanced Area Law of the Entanglement Entropy?
In: Communications in Mathematical Physics, Bd. 376, Nr. 1: S. 649-679
Müller, Peter
ORCID: https://orcid.org/0000-0002-3063-9636
und
Schulte, Ruth
(2020):
Stability of the Enhanced Area Law of the Entanglement Entropy.
In: Annales Henri Poincaré, Bd. 21, Nr. 11: S. 3639-3658
[PDF, 460kB]
Phan Thanh, Nam
ORCID: https://orcid.org/0000-0001-7599-9742
und
Rougerie, Nicolas
(2020):
Improved stability for 2D attractive Bose gases.
In: Journal of Mathematical Physics, Bd. 61, Nr. 2, 021901
Phan Thanh, Nam
ORCID: https://orcid.org/0000-0001-7599-9742
und
Salzmann, Robert
(2020):
Derivation of 3D Energy-Critical Nonlinear Schrodinger Equation and Bogoliubov Excitations for Bose Gases.
In: Communications in Mathematical Physics, Bd. 375, Nr. 1: S. 495-571
2019
Brennecke, Christian
;
Phan Thanh, Nam
ORCID: https://orcid.org/0000-0001-7599-9742
;
Napiorkowski, Marcin
und
Schlein, Benjamin
(2019):
Fluctuations of N-particle quantum dynamics around the nonlinear Schrodinger equation.
In: Annales De L Institut Henri Poincare-Analyse Non Lineaire, Bd. 36, Nr. 5: S. 1201-1235
Carrillo, Jose A.
;
Delgadino, Matias G.
;
Dolbeault, Jean
;
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Hoffmann, Franca
(2019):
Reverse Hardy-Littlewood-Sobolev inequalities.
In: Journal De Mathematiques Pures et Appliquees, Bd. 132: S. 133-165
Dietlein, Adrian
;
Gebert, Martin
und
Müller, Peter
ORCID: https://orcid.org/0000-0002-3063-9636
(2019):
Perturbations of continuum random Schrodinger operators with applications to Anderson orthogonality and the spectral shift function.
In: Journal of Spectral Theory, Bd. 9, Nr. 3: S. 921-965
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
(2019):
Non-spherical equilibrium shapes in the liquid drop model.
In: Journal of Mathematical Physics, Bd. 60, Nr. 7, 071506
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Hainzl, Christian
und
Langmann, Edwin
(2019):
The BCS critical temperature in a weak homogeneous magnetic field.
In: Journal of Spectral Theory, Bd. 9, Nr. 3: S. 1005-1062
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
König, Tobias
(2019):
CLASSIFICATION OF POSITIVE SINGULAR SOLUTIONS TO A NONLINEAR BIHARMONIC EQUATION WITH CRITICAL EXPONENT.
In: Analysis & Pde, Bd. 12, Nr. 4: S. 1101-1113
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
König, Tobias
(2019):
Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity.
In: Rendiconti Lincei-Matematica E Applicazioni, Bd. 30, Nr. 4: S. 817-846
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Laptev, A.
(2019):
BOUND ON THE NUMBER OF NEGATIVE EIGENVALUES OF TWO-DIMENSIONAL SCHRODINGER OPERATORS ON DOMAINS.
In: St Petersburg Mathematical Journal, Bd. 30, Nr. 3: S. 573-589
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Lieb, Elliott H.
(2019):
Periodic energy minimizers for a one-dimensional liquid drop model.
In: Letters in Mathematical Physics, Bd. 109, Nr. 9: S. 2069-2081
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Pushnitski, Alexander
(2019):
Kato smoothness and functions of perturbed self-adjoint operators.
In: Advances in Mathematics, Bd. 351: S. 343-387
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Pushnitski, Alexander
(2019):
Schatten Class Conditions for Functions of Schrodinger Operators.
In: Annales Henri Poincare, Bd. 20, Nr. 11: S. 3543-3562
Lewin, Mathieu
;
Phan Thanh, Nam
ORCID: https://orcid.org/0000-0001-7599-9742
und
Rougerie, Nicolas
(2019):
Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases.
In: Journal of Mathematical Physics, Bd. 60, Nr. 6, 061901
Michelangeli, Alessandro
;
Phan Thanh, Nam
ORCID: https://orcid.org/0000-0001-7599-9742
und
Olgiati, Alessandro
(2019):
Ground state energy of mixture of Bose gases.
In: Reviews in Mathematical Physics, Bd. 31, Nr. 2, 1950005
2018
Carlen, Eric A.
;
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Lieb, Elliott H.
(2018):
Inequalities for quantum divergences and the Audenaert-Datta conjecture.
In: Journal of Physics A-Mathematical and Theoretical, Bd. 51, Nr. 48, 483001
Dietlein, Adrian
;
Gebert, Martin
;
Hislop, Peter D.
;
Klein, Abel
und
Müller, Peter
ORCID: https://orcid.org/0000-0002-3063-9636
(2018):
A Bound on the Averaged Spectral Shift Function and a Lower Bound on the Density of States for Random Schrodinger Operators on R-d.
In: International Mathematics Research Notices, Nr. 21: S. 6673-6697
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Jin, Tianling
und
Xiong, Jingang
(2018):
Minimizers for the fractional Sobolev inequality on domains.
In: Calculus of Variations and Partial Differential Equations, Bd. 57, Nr. 2, 43
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Lieb, Elliott H.
(2018):
A "Liquid-Solid" Phase Transition in a Simple Model for Swarming, Based on the "No Flat-Spots" Theorem for Subharmonic Functions.
In: Indiana University Mathematics Journal, Bd. 67, Nr. 4: S. 1547-1569
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Nam, Phan Thanh
und
Bosch, Hanne van den
(2018):
The Ionization Conjecture in Thomas-Fermi-Dirac-von Weizsacker Theory.
In: Communications on Pure and Applied Mathematics, Bd. 71, Nr. 3: S. 577-614
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
;
Nam, Phan Thanh
und
Bosch, Hanne van den
(2018):
The Maximal Excess Charge in Muller Density-Matrix-Functional Theory.
In: Annales Henri Poincare, Bd. 19, Nr. 9: S. 2839-2867
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Sabin, Julien
(2018):
Extremizers for the Airy-Strichartz inequality.
In: Mathematische Annalen, Bd. 372, Nr. 3-4: S. 1121-1166
2017
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Sabin, Julien
(2017):
Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces.
In: Advances in Mathematics, Bd. 317: S. 157-192
Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688
und
Simon, Barry
(2017):
Eigenvalue bounds for Schrödinger operators with complex potentials. II.
In: Journal of Spectral Theory, Bd. 7, Nr. 3: S. 633-658
[PDF, 284kB]
2016
Fournais, Søren
;
Lampart, Jonas
;
Lewin, Mathieu
und
Sørensen, Thomas Østergaard
(2016):
Coulomb potentials and Taylor expansions in time-dependent density-functional theory.
In: Physical Review A, Bd. 93, Nr. 6, 62510
Gebert, Martin
;
Küttler, Heinrich
;
Müller, Peter
ORCID: https://orcid.org/0000-0002-3063-9636
und
Otte, Peter
(2016):
The exponent in the orthogonality catastrophe for Fermi gases.
In: Journal of Spectral Theory, Bd. 6, Nr. 3: S. 643-683
[PDF, 430kB]
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Wed Nov 20 18:05:15 2024 CET
erstellt.