## Communications on Pure and Applied Mathematics

### Issued by the Courant Institute of Mathematical Sciences, New York

 Short Title: Commun. Pure Appl. Math. Publisher: Wiley, Hoboken, NJ ISSN: 0010-3640; 1097-0312/e Online: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312/issues Predecessor: Communications on Applied Mathematics Comments: Indexed cover-to-cover
 Documents Indexed: 2,948 Publications (since 1949) References Indexed: 2,448 Publications with 48,845 References.
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### Authors

 53 Lax, Peter David 52 Lin, Fang Hua 43 Nirenberg, Louis 35 Caffarelli, Luis Ángel 35 Shapiro, Harold N. 35 Varadhan, S. R. Srinivasa 34 McKean, Henry P. jun. 31 John, Fritz 30 Majda, Andrew J. 28 Kohn, Robert Vita 28 Synge Morawetz, Cathleen 27 Keller, Joseph Bishop 26 Schwartz, Jacob Theodore 22 Deift, Percy A. 22 Masmoudi, Nader 19 Phillips, Ralph Saul 18 Friedrichs, Kurt Otto 18 Venakides, Stephanos 17 Klainerman, Sergiu 17 Liu, Tai-Ping 17 Xin, Zhouping 16 Garabedian, Paul Roesel 15 Moser, Jürgen K. 14 Brézis, Haïm 14 Shatah, Jalal 13 E, Weinan 13 Figalli, Alessio 13 Hou, Thomas Yizhao 13 Li, YanYan 13 Peters, Arthur S. 13 Schechter, Martin 13 Smoller, Joel Alan 13 Strauss, Walter Alexander 13 Tabak, Esteban G. 13 Trubowitz, Eugene 13 Vanden-Eijnden, Eric 12 Donsker, Monroe D. 12 Douglis, Avron 12 Lin, Chang-Shou 12 Otto, Felix 12 Spruck, Joel 12 Trèves, François 12 Yau, Shing-Tung 11 Ben Arous, Gérard 11 Cappell, Sylvain E. 11 Papanicolaou, George C. 11 Ralston, James V. 11 Stoker, James J. 11 Weinberger, Shmuel 11 Zhang, Ping 11 Zhou, Xin 10 Agmon, Shmuel 10 Caflisch, Russel E. 10 Hirsch, Warren M. 10 Hörmander, Lars Valter 10 Magnus, Wilhelm 10 Rabinowitz, Paul Henry 10 Souganidis, Panagiotis E. 10 Widlund, Olof B. 10 Yau, Horng-Tzer 9 Berestycki, Henri 9 Bers, Lipman 9 De Lellis, Camillo 9 Ferro, Alfredo 9 Grad, Harold 9 Guo, Yan 9 Hildebrandt, Stefan 9 Lions, Pierre-Louis 9 Osher, Stanley Joel 9 Peskin, Charles S. 9 Sidoravicius, Vladas 9 Stroock, Daniel W. 9 Sznitman, Alain-Sol 9 Uhlmann, Gunther Alberto 8 Ambrosio, Luigi 8 Constantin, Peter 8 Engquist, Bjorn E. 8 Golse, François 8 Greengard, Leslie F. 8 Greenleaf, Frederick P. 8 Hairer, Martin 8 Hang, Fengbo 8 Keller, Herbert Bishop 8 Laurence, Peter 8 Levermore, C. David 8 Sarnak, Peter Clive 8 Serfaty, Sylvia 8 Sparer, Gerson H. 8 Stredulinsky, Edward W. 8 Taylor, Michael Eugene 8 Ungar, Peter 8 van Moerbeke, Pierre 8 Wei, Juncheng 8 Zeng, Chongchun 7 Beale, J. Thomas 7 Candès, Emmanuel J. 7 Cantone, Domenico 7 Chen, Gui-Qiang G. 7 Conley, Charles Cameron 7 Epstein, Charles Lawrence ...and 2,305 more Authors
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### Fields

 1,213 Partial differential equations (35-XX) 387 Fluid mechanics (76-XX) 264 Probability theory and stochastic processes (60-XX) 182 Global analysis, analysis on manifolds (58-XX) 178 Differential geometry (53-XX) 174 Statistical mechanics, structure of matter (82-XX) 169 Dynamical systems and ergodic theory (37-XX) 133 Numerical analysis (65-XX) 127 Calculus of variations and optimal control; optimization (49-XX) 104 Ordinary differential equations (34-XX) 95 Operator theory (47-XX) 83 Quantum theory (81-XX) 82 Mechanics of deformable solids (74-XX) 74 Number theory (11-XX) 54 Functional analysis (46-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 40 Manifolds and cell complexes (57-XX) 39 Biology and other natural sciences (92-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 37 Optics, electromagnetic theory (78-XX) 34 Functions of a complex variable (30-XX) 33 Algebraic geometry (14-XX) 33 Group theory and generalizations (20-XX) 33 Several complex variables and analytic spaces (32-XX) 33 Mechanics of particles and systems (70-XX) 32 Computer science (68-XX) 31 Combinatorics (05-XX) 31 Integral equations (45-XX) 31 Information and communication theory, circuits (94-XX) 24 Relativity and gravitational theory (83-XX) 22 Potential theory (31-XX) 22 Convex and discrete geometry (52-XX) 22 Operations research, mathematical programming (90-XX) 21 Mathematical logic and foundations (03-XX) 20 Real functions (26-XX) 20 Measure and integration (28-XX) 19 Statistics (62-XX) 19 Geophysics (86-XX) 18 Algebraic topology (55-XX) 18 Classical thermodynamics, heat transfer (80-XX) 17 Systems theory; control (93-XX) 16 Topological groups, Lie groups (22-XX) 16 Integral transforms, operational calculus (44-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Abstract harmonic analysis (43-XX) 12 Special functions (33-XX) 12 General topology (54-XX) 12 Astronomy and astrophysics (85-XX) 10 History and biography (01-XX) 10 Associative rings and algebras (16-XX) 8 Difference and functional equations (39-XX) 7 Field theory and polynomials (12-XX) 6 Approximations and expansions (41-XX) 5 General and overarching topics; collections (00-XX) 5 Geometry (51-XX) 4 Commutative algebra (13-XX) 4 Nonassociative rings and algebras (17-XX) 4 $$K$$-theory (19-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX)

### Citations contained in zbMATH Open

2,738 Publications have been cited 115,229 times in 75,509 Documents Cited by Year
Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029
Brézis, Haïm; Nirenberg, Louis
1983
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Zbl 0093.10401
Agmon, S.; Douglis, A.; Nirenberg, Louis
1959
Hyperbolic systems of conservation laws. II. Zbl 0081.08803
Lax, Peter D.
1957
Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066
Kato, Tosio; Ponce, Gustavo
1988
Integrals of nonlinear equations of evolution and solitary waves. Zbl 0162.41103
Lax, Peter D.
1968
On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I. Zbl 0369.53059
Yau, Shing-Tung
1978
Orthonormal bases of compactly supported wavelets. Zbl 0644.42026
Daubechies, Ingrid
1988
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II. Zbl 0123.28706
Agmon, S.; Douglis, A.; Nirenberg, Louis
1964
On functions of bounded mean oscillation. Zbl 0102.04302
John, Fritz; Nirenberg, Louis
1961
Variational inequalities. Zbl 0152.34601
Lions, J. L.; Stampacchia, G.
1967
Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036
Mumford, David; Shah, Jayant
1989
Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067
Caffarelli, L.; Kohn, R.; Nirenberg, Louis
1982
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle. Zbl 0808.35128
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
1993
Stable signal recovery from incomplete and inaccurate measurements. Zbl 1098.94009
Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence
2006
Global and local behavior of positive solutions of nonlinear elliptic equations. Zbl 0465.35003
Gidas, B.; Spruck, J.
1981
Some mathematical questions related to the MHD equations. Zbl 0524.76099
Sermange, Michel; Temam, Roger
1983
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Zbl 0702.35085
Caffarelli, Luis A.; Gidas, Basilis; Spruck, Joel
1989
Solutions in the large for nonlinear hyperbolic systems of equations. Zbl 0141.28902
Glimm, J.
1965
Stability of peakons. Zbl 1049.35149
2000
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Zbl 1077.65055
Daubechies, Ingrid; Defrise, Michel; De Mol, Christine
2004
On a Hilbert space of analytic functions and an associated integral transform. Zbl 0107.09102
Bargmann, V.
1961
Regularity of the obstacle problem for a fractional power of the Laplace operator. Zbl 1141.49035
Silvestre, Luis
2007
On the kinetic theory of rarefied gases. Zbl 0037.13104
1949
The partial differential equation $$u_t+uu_x=\mu u_{xx}$$. Zbl 0039.10403
Hopf, Eberhard
1950
Systems of conservation laws. Zbl 0152.44802
Lax, Peter D.; Wendroff, B.
1960
Polar factorization and monotone rearrangement of vector-valued functions. Zbl 0738.46011
Brenier, Yann
1991
Classification of solutions for an integral equation. Zbl 1093.45001
Chen, Wenxiong; Li, Congming; Ou, Biao
2006
Estimates for the $$\bar \partial_b$$ complex and analysis on the Heisenberg group. Zbl 0293.35012
Folland, G. B.; Stein, Elias M.
1974
Weak solutions of nonlinear hyperbolic equations and their numerical computation. Zbl 0055.19404
Lax, Peter D.
1954
Harmonic functions on complete Riemannian manifolds. Zbl 0291.31002
Yau, Shing-tung
1975
Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068
Klainerman, Sergiu; Majda, Andrew
1981
Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation. Zbl 0934.35153
1998
On solutions of $$\Delta u=f(u)$$. Zbl 0090.31801
Keller, Joseph B.
1957
On Harnack type inequalities and their application to quasilinear elliptic equations. Zbl 0153.42703
Trudinger, N. S.
1967
Biorthogonal bases of compactly supported wavelets. Zbl 0776.42020
Cohen, A.; Daubechies, Ingrid; Feauveau, J.-C.
1992
Differential equations on Riemannian manifolds and their geometric applications. Zbl 0312.53031
Cheng, S. Y.; Yau, Shing-Tung
1975
Fast wavelet transforms and numerical algorithms. I. Zbl 0722.65022
Beylkin, G.; Coifman, R.; Rokhlin, V.
1991
On Harnack’s theorem for elliptic differential equations. Zbl 0111.09302
Moser, Jürgen
1961
A new proof of de Giorgi’s theorem concerning the regularity problem for elliptic differential equations. Zbl 0111.09301
Moser, Jürgen
1960
On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology of the domain. Zbl 0649.35033
Bahri, Abbas; Coron, Jean-Michel
1988
Approximation of functionals depending on jumps by elliptic functionals via $$\Gamma$$-convergence. Zbl 0722.49020
Ambrosio, Luigi; Tortorelli, Vincenzo Maria
1990
A shallow water equation on the circle. Zbl 0940.35177
Constantin, A.; McKean, H. P.
1999
Asymptotic speeds of spread and traveling waves for monotone semiflows with applications. Zbl 1106.76008
Liang, Xing; Zhao, Xiao-Qiang
2007
A Harnack inequality for parabolic differential equations. Zbl 0149.06902
Moser, Jürgen
1964
A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. Zbl 1021.74024
Friesecke, Gero; James, Richard D.; Müller, Stefan
2002
Lyapunov stability of ground states of nonlinear dispersive evolution equations. Zbl 0594.35005
Weinstein, Michael I.
1986
On the weak solutions to a shallow water equation. Zbl 1048.35092
Xin, Zhouping; Zhang, Ping
2000
On the shape of least-energy solutions to a semilinear Neumann problem. Zbl 0754.35042
Ni, Wei-Ming; Takagi, Izumi
1991
Stochastic differential equations with reflecting boundary conditions. Zbl 0598.60060
Lions, Pierre-Louis; Sznitman, A. S.
1984
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129
Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S.
1994
On the exponential solution of differential equations for a linear operator. Zbl 0056.34102
Magnus, Wilhelm
1954
The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Zbl 0826.65078
Jin, Shi; Xin, Zhouping
1995
Nonparabolic dissipative systems modeling the flow of liquid crystals. Zbl 0842.35084
Lin, Fang-Hua; Liu, Chun
1995
On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions. Zbl 1072.35506
Catrina, Florin; Wang, Zhi-Qiang
2001
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Zbl 0944.42013
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1999
On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems. Zbl 0151.20203
Agmon, S.
1965
On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems. Zbl 0109.32701
Agmon, S.
1962
Regularity theory for fully nonlinear integro-differential equations. Zbl 1170.45006
Caffarelli, Luis; Silvestre, Luis
2009
On the existence of Hermitian-Yang-Mills connections in stable vector bundles. Zbl 0615.58045
Uhlenbeck, K.; Yau, S. T.
1986
Inverse scattering on the line. Zbl 0388.34005
Deift, P.; Trubowitz, E.
1979
On $$W^{1,p}$$ estimates for elliptic equations in divergence form. Zbl 0906.35030
Caffarelli, L. A.; Peral, I.
1998
Hyperbolic conservation laws with stiff relaxation terms and entropy. Zbl 0806.35112
Chen, Gui-Qiang; Levermore, C. David; Liu, Tai-Ping
1994
The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047
Caffarelli, L.; Nirenberg, Louis; Spruck, J.
1984
The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060
Fischer-Colbrie, Doris; Schoen, Richard
1980
Symmetric positive linear differential equations. Zbl 0083.31802
Friedrichs, K. O.
1958
Asymptotically self-similar blow-up of semilinear heat equations. Zbl 0585.35051
Giga, Yoshikazu; Kohn, Robert V.
1985
Riemannian center of mass and mollifier smoothing. Zbl 0354.57005
Karcher, H.
1977
Strong asymptotics of orthogonal polynomials with respect to exponential weights. Zbl 1026.42024
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1999
New tight frames of curvelets and optimal representations of objects with piecewise $$C ^{2}$$ singularities. Zbl 1038.94502
Candès, Emmanuel J.; Donoho, David L.
2004
Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density. Zbl 0937.35134
Xin, Zhouping
1998
Morse-type index theory for flows and periodic solutions for Hamiltonian equations. Zbl 0559.58019
Conley, Charles; Zehnder, Eduard
1984
Homoclinic type solutions for a semilinear elliptic PDE on $$\mathbb{R}^ n$$. Zbl 0785.35029
Coti Zelati, Vittorio; Rabinowitz, Paul H.
1992
Isoperimetric and Sobolev inequalities for Carnot-Carathéodory spaces and the existence of minimal surfaces. Zbl 0880.35032
Garofalo, Nicola; Nhieu, Duy-Minh
1996
Uniform decay estimates and the Lorentz invariance of the classical wave equation. Zbl 0635.35059
Klainerman, Sergiu
1985
Korteweg-de Vries equation and generalizations. VI: Methods for exact solution. Zbl 0291.35012
Gardner, Clifford S.; Greene, John M.; Kruskal, Martin D.; Miura, Robert M.
1974
The mass of an asymptotically flat manifold. Zbl 0598.53045
Bartnik, Robert
1986
Radiation boundary conditions for wave-like equations. Zbl 0438.35043
Bayliss, Alvin; Turkel, Eli
1980
Symmetric hyperbolic linear differential equations. Zbl 0059.08902
Friedrichs, K. O.
1954
Phase transitions and generalized motion by mean curvature. Zbl 0801.35045
Evans, L. C.; Soner, H. M.; Souganidis, P. E.
1992
Periodic solutions of Hamiltonian systems. Zbl 0358.70014
Rabinowitz, Paul H.
1978
Compressible and incompressible fluids. Zbl 0478.76091
Klainerman, Sergiu; Majda, Andrew
1982
Exact steady periodic water waves with vorticity. Zbl 1038.76011
2004
Newton’s method and periodic solutions of nonlinear wave equations. Zbl 0794.35104
Craig, Walter; Wayne, C. Eugene
1993
A new proof of the Caffarelli-Kohn-Nirenberg theorem. Zbl 0958.35102
Lin, Fanghua
1998
Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070
Engquist, Bjorn; Majda, Andrew
1979
Remarks on some quasilinear elliptic equations. Zbl 0325.35038
Kazdan, Jerry L.; Warner, Frank W.
1975
Nonlinear theory of defects in nematic liquid crystals; phase transition and flow phenomena. Zbl 0703.35173
Lin, Fanghua
1989
Asymptotic evaluation of certain Markov process expectations for large time. I. Zbl 0323.60069
Donsker, M. D.; Varadhan, S. R. S.
1975
Remarks on finding critical points. Zbl 0751.58006
Brézis, Haïm; Nirenberg, Louis
1991
On the regularity of the solution of a variational inequality. Zbl 0167.11501
Lewy, Hans; Stampacchia, G.
1969
The regularization of the Kepler’s problem and the averaging method on a manifold. Zbl 0193.53803
Moser, Jürgen
1970
Global solutions of nonlinear hyperbolic equations for small initial data. Zbl 0612.35090
Christodoulou, Demetrios
1986
Probability distribution of the free energy of the continuum directed random polymer in $$1 + 1$$ dimensions. Zbl 1222.82070
Amir, Gideon; Corwin, Ivan; Quastel, Jeremy
2011
Periodic solutions of nonlinear hyperbolic partial differential equations. Zbl 0152.10003
Rabinowitz, P. H.
1967
Classical solutions of fully nonlinear, convex, second-order elliptic equations. Zbl 0469.35022
Evans, Lawrence C.
1982
Front propagation in periodic excitable media. Zbl 1024.37054
Berestycki, Henri; Hamel, François
2002
Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations. Zbl 1234.35181
Huang, Xiangdi; Li, Jing; Xin, Zhouping
2012
Brownian motion and Harnack inequality for Schrödinger operators. Zbl 0459.60069
Aizenman, M.; Simon, B.
1982
Nonlocal minimal surfaces. Zbl 1248.53009
Caffarelli, L.; Roquejoffre, J.-M.; Savin, O.
2010
Non-coercive boundary value problems. Zbl 0125.33302
Kohn, J. J.; Nirenberg, Louis
1965
The generalization error of random features regression: precise asymptotics and the double descent curve. Zbl 07513415
Mei, Song; Montanari, Andrea
2022
Formation of shocks for 2D isentropic compressible Euler. Zbl 1498.35405
Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad
2022
Uniqueness and nonuniqueness of steady states of aggregation-diffusion equations. Zbl 07513405
Delgadino, Matias G.; Yan, Xukai; Yao, Yao
2022
A Riemann-Hilbert approach to the lower tail of the Kardar-Parisi-Zhang equation. Zbl 1487.35269
Cafasso, Mattia; Claeys, Tom
2022
Axi-symmetrization near point vortex solutions for the 2D Euler equation. Zbl 1492.76017
Ionescu, Alexandru; Jia, Hao
2022
Unique asymptotics of compact ancient solutions to three-dimensional Ricci flow. Zbl 07569193
Angenent, Sigurd; Brendle, Simon; Daskalopoulos, Panagiota; Šešum, Natasa
2022
Trainability and accuracy of artificial neural networks: an interacting particle system approach. Zbl 07597044
Rotskoff, Grant; Vanden-Eijnden, Eric
2022
Navier-Stokes equations in gas dynamics: Green’s function, singularity, and well-posedness. Zbl 07492700
Liu, Tai-Ping; Yu, Shih-Hsien
2022
Finite time blowup for the nematic liquid crystal flow in dimension two. Zbl 1489.76008
Lai, Chen-Chih; Lin, Fanghua; Wang, Changyou; Wei, Juncheng; Zhou, Yifu
2022
Improved Moser-Trudinger-Onofri inequality under constraints. Zbl 1496.46030
Chang, Sun-Yung A.; Hang, Fengbo
2022
The Batchelor spectrum of passive scalar turbulence in stochastic fluid mechanics at fixed Reynolds number. Zbl 07570761
Bedrossian, Jacob; Blumenthal, Alex; Punshon-Smith, Samuel
2022
Strong stability for the Wulff inequality with a crystalline norm. Zbl 1495.49033
Figalli, Alessio; Zhang, Yi Ru-Ya
2022
Inviscid limit of vorticity distributions in the Yudovich class. Zbl 07513406
Constantin, Peter; Drivas, Theodore D.; Elgindi, Tarek M.
2022
Local flexibility for open partial differential relations. Zbl 1497.35485
Bär, Christian; Hanke, Bernhard
2022
Global well-posedness of master equations for deterministic displacement convex potential mean field games. Zbl 07656141
Gangbo, Wilfrid; Mészáros, Alpár Richárd
2022
$$C^2$$ regularity of the surface tension for the $$\nabla \varphi$$ Interface model. Zbl 1494.82015
Armstrong, Scott; Wu, Wei
2022
Plateau’s problem as a singular limit of capillarity problems. Zbl 1490.76053
King, Darren; Maggi, Francesco; Stuvard, Salvatore
2022
Coagulation-fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel. Zbl 1496.35161
Tran, Hung V.; Van, Truong-Son
2022
Well-posedness in Gevrey function space for 3D Prandtl equations without structural assumption. Zbl 1498.35433
Li, Wei-Xi; Masmoudi, Nader; Yang, Tong
2022
Optimal small scale equidistribution of lattice points on the sphere, Heegner points, and closed geodesics. Zbl 07597045
2022
Global mild solutions of the Landau and non-cutoff Boltzmann equations. Zbl 1476.35161
Duan, Renjun; Liu, Shuangqian; Sakamoto, Shota; Strain, Robert M.
2021
Liouville theorems and a Schwarz lemma for holomorphic mappings between Kähler manifolds. Zbl 1477.32045
Ni, Lei
2021
On the Yau-Tian-Donaldson conjecture for singular Fano varieties. Zbl 1484.32041
Li, Chi; Tian, Gang; Wang, Feng
2021
Following the ground states of full-rsb spherical spin glasses. Zbl 1467.82097
Subag, Eliran
2021
Multitime distribution in discrete polynuclear growth. Zbl 07447012
Johansson, Kurt; Rahman, Mustazee
2021
On the integrability of the Benjamin-Ono equation on the torus. Zbl 1471.35354
Gérard, Patrick; Kappeler, Thomas
2021
Local boundedness and Harnack inequality for solutions of linear nonuniformly elliptic equations. Zbl 1469.35073
Bella, Peter; Schäffner, Mathias
2021
Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below II. Zbl 1482.53052
Liu, Gang; Szekelyhidi, Gábor
2021
Quantitative estimates for regular Lagrangian flows with BV vector fields. Zbl 1469.35091
Nguyen, Quoc-Hung
2021
Asymptotic expansions of solutions of the Yamabe equation and the $$\sigma_{k}$$-Yamabe equation near isolated singular points. Zbl 1482.35070
Han, Qing; Li, Xiaoxiao; Li, Yichao
2021
For most frequencies, strong trapping has a weak effect in frequency-domain scattering. Zbl 07405485
Lafontaine, David; Spence, Euan A.; Wunsch, Jared
2021
Additivity of higher rho invariants and nonrigidity of topological manifolds. Zbl 1476.57044
Weinberger, Shmuel; Xie, Zhizhang; Yu, Guoliang
2021
DLR equations and rigidity for the sine-beta process. Zbl 1467.82013
Dereudre, David; Hardy, Adrien; Leblé, Thomas; Maïda, Mylène
2021
On the convex geometry of blind deconvolution and matrix completion. Zbl 07363253
Krahmer, Felix; Stöger, Dominik
2021
Consistent inversion of noisy non-abelian X-ray transforms. Zbl 07363259
Monard, François; Nickl, Richard; Paternain, Gabriel P.
2021
On admissible locations of transonic shock fronts for steady Euler flows in an almost flat finite nozzle with prescribed receiver pressure. Zbl 1479.76062
Fang, Beixiang; Xin, Zhouping
2021
Transition threshold for the 3D Couette flow in Sobolev space. Zbl 07433692
Wei, Dongyi; Zhang, Zhifei
2021
Sharp extinction rates for fast diffusion equations on generic bounded domains. Zbl 1467.35047
Bonforte, Matteo; Figalli, Alessio
2021
KAM theorem with normal frequencies of finite limit-points for some shallow water equations. Zbl 1475.37082
Yuan, Xiaoping
2021
On the finite time blowup of the de Gregorio model for the 3D Euler equations. Zbl 1469.35053
Chen, Jiajie; Hou, Thomas Y.; Huang, De
2021
Spatially inhomogeneous evolutionary games. Zbl 1470.91038
Ambrosio, Luigi; Fornasier, Massimo; Morandotti, Marco; Savaré, Giuseppe
2021
A scalar version of the Caflisch-Luke paradox. Zbl 1479.76025
Gloria, Antoine
2021
Almost-rigidity of frameworks. Zbl 07405489
Holmes-Cerfon, Miranda; Theran, Louis; Gortler, Steven J.
2021
Isoperimetry, scalar curvature, and mass in asymptotically flat Riemannian 3-manifolds. Zbl 1470.53036
Chodosh, Otis; Eichmair, Michael; Shi, Yuguang; Yu, Haobin
2021
The data-driven Schrödinger bridge. Zbl 07381996
Pavon, Michele; Trigila, Giulio; Tabak, Esteban G.
2021
Real analytic local well-posedness for the triple deck. Zbl 1476.35200
2021
Gaussian regularization of the pseudospectrum and Davies’ conjecture. Zbl 1480.15014
Banks, Jess; Kulkarni, Archit; Mukherjee, Satyaki; Srivastava, Nikhil
2021
Homogenization, linearization, and large-scale regularity for nonlinear elliptic equations. Zbl 1467.35032
Armstrong, Scott; Ferguson, Samuel J.; Kuusi, Tuomo
2021
Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Zbl 1467.82092
Frank, Rupert L.; Seiringer, Robert
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Quantitative linearization results for the Monge-Ampère equation. Zbl 1480.35082
Goldman, Michael; Huesmann, Martin; Otto, Felix
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Optimal error estimates for analytic continuation in the upper half-plane. Zbl 1469.30110
Grabovsky, Yury; Hovsepyan, Narek
2021
Classification of generalized Kähler-Ricci solitons on complex surfaces. Zbl 1501.53099
Streets, Jeffrey; Ustinovskiy, Yury
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Log-Sobolev inequality for the continuum sine-Gordon model. Zbl 1475.60144
Bauerschmidt, Roland; Bodineau, Thierry
2021
The continuous-time lace expansion. Zbl 07433689
Brydges, David; Helmuth, Tyler; Holmes, Mark
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Water-waves problem with surface tension in a corner domain II: the local well-posedness. Zbl 1471.35239
Ming, Mei; Wang, Chao
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Maximal hypersurfaces over exterior domains. Zbl 1467.35148
Hong, Guanghao; Yuan, Yu
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The quasi curvature-dimension condition with applications to sub-Riemannian manifolds. Zbl 1500.53041
Milman, Emanuel
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Cycle class maps and birational invariants. Zbl 1487.14014
Hassett, Brendan; Tschinkel, Yuri
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Minimal surfaces in hyperbolic 3-manifolds. Zbl 1483.53009
Coskunuzer, Baris
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Strict inequality for the chemical distance exponent in two-dimensional critical percolation. Zbl 1475.82010
Damron, Michael; Hanson, Jack; Sosoe, Philippe
2021
On the well-posedness of branched transportation. Zbl 1468.90031
Colombo, Maria; De Rosa, Antonio; Marchese, Andrea
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Upper tail large deviations in first passage percolation. Zbl 1470.60269
Basu, Riddhipratim; Sly, Allan; Ganguly, Shirshendu
2021
Concentration versus oscillation effects in brittle damage. Zbl 1491.74086
Babadjian, Jean-François; Iurlano, Flaviana; Rindler, Filip
2021
Finite-rank perturbations of random band matrices via infinitesimal free probability. Zbl 1473.60013
Au, Benson
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Minimizers for the thin one-phase free boundary problem. Zbl 1473.35666
Engelstein, Max; Kauranen, Aapo; Prats, Martí; Sakellaris, Georgios; Sire, Yannick
2021
Optimal symplectic connections on holomorphic submersions. Zbl 1478.53116
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Regularized Stokes immersed boundary problems in two dimensions: well-posedness, singular limit, and error estimates. Zbl 1471.35222
Tong, Jiajun
2021
Fast computation of orthogonal systems with a skew-symmetric differentiation matrix. Zbl 1503.65156
Iserles, Arieh; Webb, Marcus
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On the relationship between the thin film equation and Tanner’s law. Zbl 1466.76007
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The one-dimensional log-gas free energy has a unique minimizer. Zbl 1467.82051
Erbar, Matthias; Huesmann, Martin; Leblé, Thomas
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Lipschitz bounds and nonuniform ellipticity. Zbl 1445.35140
Beck, Lisa; Mingione, Giuseppe
2020
Constancy of the dimension for Rcd$$(K,N)$$ spaces via regularity of Lagrangian flows. Zbl 1442.35054
Brué, Elia; Semola, Daniele
2020
Random band matrices in the delocalized phase I: Quantum unique ergodicity and universality. Zbl 1446.60005
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
2020
On the relation between enhanced dissipation timescales and mixing rates. Zbl 1444.76098
Zelati, Michele Coti; Delgadino, Matias G.; Elgindi, Tarek M.
2020
Space-time localisation for the dynamic $$\Phi_3^4$$ model. Zbl 1455.35309
Moinat, Augustin; Weber, Hendrik
2020
Symmetries and critical phenomena in fluids. Zbl 1442.76031
Elgindi, Tarek M.; Jeong, In-Jee
2020
Direct epiperimetric inequalities for the thin obstacle problem and applications. Zbl 1433.49010
Colombo, Maria; Spolaor, Luca; Velichkov, Bozhidar
2020
The generalized Caffarelli-Kohn-Nirenberg theorem for the hyperdissipative Navier-Stokes system. Zbl 1442.35298
Colombo, Maria; De Lellis, Camillo; Massaccesi, Annalisa
2020
Determination of space-time structures from gravitational perturbations. Zbl 1450.83002
Uhlmann, Gunther; Wang, Yiran
2020
Global bifurcation of rotating vortex patches. Zbl 1452.76038
Hassainia, Zineb; Masmoudi, Nader; Wheeler, Miles H.
2020
Global solution for massive Maxwell-Klein-Gordon equations. Zbl 1433.35386
Klainerman, Sergiu; Wang, Qian; Yang, Shiwu
2020
Deterministic guarantees for Burer-Monteiro factorizations of smooth semidefinite programs. Zbl 1445.90074
Boumal, Nicolas; Voroninski, Vladislav; Bandeira, Afonso S.
2020
Geometry and temperature chaos in mixed spherical spin glasses at low temperature: the perturbative regime. Zbl 1453.82089
Ben Arous, Gérard; Subag, Eliran; Zeitouni, Ofer
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Optimal Besov differentiability for entropy solutions of the eikonal equation. Zbl 1437.35135
Ghiraldin, Francesco; Lamy, Xavier
2020
The SK model is infinite step replica symmetry breaking at zero temperature. Zbl 1453.82088
Auffinger, Antonio; Chen, Wei-kuo; Zeng, Qiang
2020
Global identifiability of differential models. Zbl 1496.93059
Hong, Hoon; Ovchinnikov, Alexey; Pogudin, Gleb; Yap, Chee
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Pseudospectral bound and transition threshold for the 3D Kolmogorov flow. Zbl 1442.35346
Li, Te; Wei, Dongyi; Zhang, Zhifei
2020
The Gauss image problem. Zbl 1456.52002
Böröczky, Károly J.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong; Zhao, Yiming
2020
Equivalence of the ellipticity conditions for geometric variational problems. Zbl 1452.49006
De Rosa, Antonio; Kolasiński, Sławomir
2020
A general mechanism of diffusion in Hamiltonian systems: qualitative results. Zbl 1437.37072
Gidea, Marian; La Llave, Rafael De; M-Seara, Tere
2020
Quantization in geometric pluripotential theory. Zbl 1445.53062
Darvas, Tamás; Lu, Chinh H.; Rubinstein, Yanir A.
2020
The branching-ruin number and the critical parameter of once-reinforced random walk on trees. Zbl 1443.60044
Collevecchio, Andrea; Kious, Daniel; Sidoravicius, Vladas
2020
Attractors for two-dimensional waves with homogeneous Hamiltonians of degree 0. Zbl 1442.35331
Colin de Verdière, Yves; Saint-Raymond, Laure
2020
A De Giorgi-type conjecture for minimal solutions to a nonlinear Stokes equation. Zbl 1441.35008
2020
On the global behavior of weak null quasilinear wave equations. Zbl 1445.35252
Deng, Yu; Pusateri, Fabio
2020
Theoretical justification and error analysis for slender body theory. Zbl 1447.35253
Mori, Yoichiro; Ohm, Laurel; Spirn, Daniel
2020
Dimension reduction for thin films with transversally varying prestrain: oscillatory and nonoscillatory cases. Zbl 1452.49026
Lewicka, Marta; Lučić, Danka
2020
The regularity of parametrized integer stationary varifolds in two dimensions. Zbl 07274494
Pigati, Alessandro; Rivière, Tristan
2020
Fast binary embeddings and quantized compressed sensing with structured matrices. Zbl 1452.94016
Huynh, Thang; Saab, Rayan
2020
Identification of the polaron measure. I: Fixed coupling regime and the central limit theorem for large times. Zbl 1442.60082
Mukherjee, Chiranjib; Varadhan, S. R. S.
2020
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### Cited by 48,609 Authors

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### Cited in 1,199 Journals

 3,386 Journal of Differential Equations 2,676 Journal of Mathematical Analysis and Applications 1,820 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,743 Communications in Mathematical Physics 1,737 Journal of Mathematical Physics 1,716 Archive for Rational Mechanics and Analysis 1,567 Journal of Functional Analysis 1,332 Communications in Partial Differential Equations 1,270 Calculus of Variations and Partial Differential Equations 1,219 Journal of Computational Physics 1,182 Transactions of the American Mathematical Society 905 Proceedings of the American Mathematical Society 889 Advances in Mathematics 733 Mathematische Annalen 732 Discrete and Continuous Dynamical Systems 709 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 676 Journal of Statistical Physics 664 Mathematische Zeitschrift 644 Physica D 638 SIAM Journal on Mathematical Analysis 607 Journal de Mathématiques Pures et Appliquées. Neuvième Série 592 The Journal of Geometric Analysis 556 Applicable Analysis 549 Applied Mathematics and Computation 531 Nonlinear Analysis. Theory, Methods & Applications 513 Computer Methods in Applied Mechanics and Engineering 498 Annali di Matematica Pura ed Applicata. Serie Quarta 490 ZAMP. Zeitschrift für angewandte Mathematik und Physik 473 Journal of Computational and Applied Mathematics 467 Communications on Pure and Applied Mathematics 466 Duke Mathematical Journal 458 Communications on Pure and Applied Analysis 434 Inventiones Mathematicae 416 Nonlinear Analysis. Real World Applications 413 Computers & Mathematics with Applications 397 Mathematical Methods in the Applied Sciences 392 Applied Mathematics Letters 387 Journal of Mathematical Sciences (New York) 385 Journal of Scientific Computing 374 Mathematics of Computation 371 Probability Theory and Related Fields 366 The Annals of Probability 363 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 359 Applied and Computational Harmonic Analysis 355 Comptes Rendus. Mathématique. Académie des Sciences, Paris 352 Stochastic Processes and their Applications 350 Journal of Fluid Mechanics 331 Communications in Contemporary Mathematics 323 Manuscripta Mathematica 319 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 307 Annales de l’Institut Fourier 298 Numerische Mathematik 294 Science China. Mathematics 292 Journal d’Analyse Mathématique 291 Journal of Mathematical Fluid Mechanics 290 Boundary Value Problems 277 Journal of Geometry and Physics 273 Journal of Nonlinear Science 267 Nonlinearity 263 Annales Henri Poincaré 261 Wave Motion 258 NoDEA. Nonlinear Differential Equations and Applications 258 Acta Mathematica Sinica. English Series 257 Journal of Dynamics and Differential Equations 253 Acta Applicandae Mathematicae 244 Journal of Hyperbolic Differential Equations 238 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 230 Applied Numerical Mathematics 229 SIAM Journal on Scientific Computing 228 Mathematical Notes 226 Discrete and Continuous Dynamical Systems. Series B 224 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 217 Computers and Fluids 214 Complex Variables and Elliptic Equations 212 Abstract and Applied Analysis 208 Journal of Evolution Equations 206 Advanced Nonlinear Studies 204 The Journal of Fourier Analysis and Applications 201 Chinese Annals of Mathematics. Series B 200 Linear Algebra and its Applications 198 Bulletin of the American Mathematical Society. New Series 197 Letters in Mathematical Physics 196 Bulletin of the American Mathematical Society 193 Siberian Mathematical Journal 193 Journal of the European Mathematical Society (JEMS) 192 Journal of Soviet Mathematics 187 Potential Analysis 185 Israel Journal of Mathematics 185 Theoretical and Mathematical Physics 173 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 167 Quarterly of Applied Mathematics 167 The Annals of Applied Probability 166 Annals of Global Analysis and Geometry 165 Acta Mathematica 165 Journal für die Reine und Angewandte Mathematik 163 Mathematische Nachrichten 163 Studies in Applied Mathematics 158 Journal of Approximation Theory 158 Journal of the American Mathematical Society 156 Journal of Elasticity ...and 1,099 more Journals
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### Cited in 63 Fields

 40,211 Partial differential equations (35-XX) 11,738 Fluid mechanics (76-XX) 7,906 Numerical analysis (65-XX) 6,290 Differential geometry (53-XX) 5,883 Probability theory and stochastic processes (60-XX) 5,265 Dynamical systems and ergodic theory (37-XX) 5,052 Global analysis, analysis on manifolds (58-XX) 4,499 Operator theory (47-XX) 4,141 Statistical mechanics, structure of matter (82-XX) 4,132 Calculus of variations and optimal control; optimization (49-XX) 3,493 Ordinary differential equations (34-XX) 3,462 Mechanics of deformable solids (74-XX) 3,189 Quantum theory (81-XX) 2,537 Functional analysis (46-XX) 2,452 Harmonic analysis on Euclidean spaces (42-XX) 1,938 Biology and other natural sciences (92-XX) 1,873 Several complex variables and analytic spaces (32-XX) 1,518 Information and communication theory, circuits (94-XX) 1,374 Mechanics of particles and systems (70-XX) 1,297 Optics, electromagnetic theory (78-XX) 1,242 Computer science (68-XX) 1,181 Operations research, mathematical programming (90-XX) 1,162 Algebraic geometry (14-XX) 1,105 Linear and multilinear algebra; matrix theory (15-XX) 1,105 Statistics (62-XX) 1,072 Functions of a complex variable (30-XX) 1,049 Systems theory; control (93-XX) 1,045 Integral equations (45-XX) 1,034 Relativity and gravitational theory (83-XX) 993 Real functions (26-XX) 884 Potential theory (31-XX) 867 Manifolds and cell complexes (57-XX) 779 Number theory (11-XX) 708 Geophysics (86-XX) 680 Approximations and expansions (41-XX) 624 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 616 Topological groups, Lie groups (22-XX) 611 Group theory and generalizations (20-XX) 591 Measure and integration (28-XX) 591 Classical thermodynamics, heat transfer (80-XX) 574 Special functions (33-XX) 491 Combinatorics (05-XX) 475 Convex and discrete geometry (52-XX) 406 Abstract harmonic analysis (43-XX) 363 Difference and functional equations (39-XX) 355 Integral transforms, operational calculus (44-XX) 319 Nonassociative rings and algebras (17-XX) 267 Algebraic topology (55-XX) 235 Associative rings and algebras (16-XX) 229 Astronomy and astrophysics (85-XX) 222 Mathematical logic and foundations (03-XX) 181 General and overarching topics; collections (00-XX) 160 History and biography (01-XX) 157 General topology (54-XX) 116 Geometry (51-XX) 107 Commutative algebra (13-XX) 103 Field theory and polynomials (12-XX) 51 $$K$$-theory (19-XX) 45 Category theory; homological algebra (18-XX) 41 Order, lattices, ordered algebraic structures (06-XX) 31 Sequences, series, summability (40-XX) 13 Mathematics education (97-XX) 11 General algebraic systems (08-XX)