## 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: 2,916 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. 34 McKean, Henry P. jun. 34 Varadhan, S. R. Srinivasa 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. 20 Masmoudi, Nader 19 Phillips, Ralph Saul 18 Friedrichs, Kurt Otto 18 Venakides, Stephanos 17 Klainerman, Sergiu 17 Liu, Tai-Ping 16 Garabedian, Paul Roesel 16 Xin, Zhouping 15 Moser, Jürgen K. 14 Brézis, Haïm 14 Shatah, Jalal 13 E, Weinan 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 12 Donsker, Monroe D. 12 Douglis, Avron 12 Figalli, Alessio 12 Lin, Chang-Shou 12 Otto, Felix 12 Spruck, Joel 12 Trèves, François 12 Vanden-Eijnden, Eric 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 Karp, Samuel N. 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 Greenleaf, Frederick P. 8 Hairer, Martin 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 7 Beale, J. Thomas 7 Candès, Emmanuel J. 7 Cantone, Domenico 7 Chen, Gui-Qiang G. 7 Conley, Charles Cameron 7 Engquist, Bjorn E. 7 Epstein, Charles Lawrence 7 Golse, François 7 Goodman, Jonathan B. 7 Greengard, Leslie F. ...and 2,265 more Authors
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### Fields

 1,192 Partial differential equations (35-XX) 381 Fluid mechanics (76-XX) 261 Probability theory and stochastic processes (60-XX) 182 Global analysis, analysis on manifolds (58-XX) 174 Differential geometry (53-XX) 170 Statistical mechanics, structure of matter (82-XX) 168 Dynamical systems and ergodic theory (37-XX) 132 Numerical analysis (65-XX) 122 Calculus of variations and optimal control; optimization (49-XX) 104 Ordinary differential equations (34-XX) 94 Operator theory (47-XX) 82 Mechanics of deformable solids (74-XX) 77 Quantum theory (81-XX) 73 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 Group theory and generalizations (20-XX) 33 Mechanics of particles and systems (70-XX) 32 Algebraic geometry (14-XX) 32 Several complex variables and analytic spaces (32-XX) 32 Computer science (68-XX) 31 Combinatorics (05-XX) 31 Integral equations (45-XX) 30 Information and communication theory, circuits (94-XX) 24 Relativity and gravitational theory (83-XX) 22 Potential theory (31-XX) 22 Operations research, mathematical programming (90-XX) 21 Mathematical logic and foundations (03-XX) 21 Real functions (26-XX) 21 Convex and discrete geometry (52-XX) 20 Measure and integration (28-XX) 19 Statistics (62-XX) 18 Algebraic topology (55-XX) 18 Geophysics (86-XX) 17 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) 15 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)

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2,703 Publications have been cited 107,140 times in 71,538 Documents Cited by Year
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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
Orthonormal bases of compactly supported wavelets. Zbl 0644.42026
Daubechies, Ingrid
1988
On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I. Zbl 0369.53059
Yau, Shing-Tung
1978
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
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1981
Solutions in the large for nonlinear hyperbolic systems of equations. Zbl 0141.28902
Glimm, J.
1965
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Zbl 0702.35085
Caffarelli, Luis A.; Gidas, Basilis; Spruck, Joel
1989
Some mathematical questions related to the MHD equations. Zbl 0524.76099
Sermange, Michel; Temam, Roger
1983
On a Hilbert space of analytic functions and an associated integral transform. Zbl 0107.09102
Bargmann, V.
1961
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 the kinetic theory of rarefied gases. Zbl 0037.13104
1949
Regularity of the obstacle problem for a fractional power of the Laplace operator. Zbl 1141.49035
Silvestre, Luis
2007
Systems of conservation laws. Zbl 0152.44802
Lax, Peter D.; Wendroff, B.
1960
The partial differential equation $$u_t+uu_x=\mu u_{xx}$$. Zbl 0039.10403
Hopf, Eberhard
1950
Polar factorization and monotone rearrangement of vector-valued functions. Zbl 0738.46011
Brenier, Yann
1991
Estimates for the $$\bar \partial_b$$ complex and analysis on the Heisenberg group. Zbl 0293.35012
Folland, G. B.; Stein, Elias M.
1974
Classification of solutions for an integral equation. Zbl 1093.45001
Chen, Wenxiong; Li, Congming; Ou, Biao
2006
Weak solutions of nonlinear hyperbolic equations and their numerical computation. Zbl 0055.19404
Lax, Peter D.
1954
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
Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068
Klainerman, Sergiu; Majda, Andrew
1981
Harmonic functions on complete Riemannian manifolds. Zbl 0291.31002
Yau, Shing-tung
1975
Biorthogonal bases of compactly supported wavelets. Zbl 0776.42020
Cohen, A.; Daubechies, Ingrid; Feauveau, J.-C.
1992
Fast wavelet transforms and numerical algorithms. I. Zbl 0722.65022
Beylkin, G.; Coifman, R.; Rokhlin, V.
1991
On Harnack type inequalities and their application to quasilinear elliptic equations. Zbl 0153.42703
Trudinger, N. S.
1967
On Harnack’s theorem for elliptic differential equations. Zbl 0111.09302
Moser, Jürgen
1961
Differential equations on Riemannian manifolds and their geometric applications. Zbl 0312.53031
Cheng, S. Y.; Yau, Shing-Tung
1975
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
A shallow water equation on the circle. Zbl 0940.35177
Constantin, A.; McKean, H. P.
1999
A Harnack inequality for parabolic differential equations. Zbl 0149.06902
Moser, Jürgen
1964
Approximation of functionals depending on jumps by elliptic functionals via $$\Gamma$$-convergence. Zbl 0722.49020
Ambrosio, Luigi; Tortorelli, Vincenzo Maria
1990
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
Lyapunov stability of ground states of nonlinear dispersive evolution equations. Zbl 0594.35005
Weinstein, Michael I.
1986
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
Asymptotic speeds of spread and traveling waves for monotone semiflows with applications. Zbl 1106.76008
Liang, Xing; Zhao, Xiao-Qiang
2007
The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Zbl 0826.65078
Jin, Shi; Xin, Zhouping
1995
On the exponential solution of differential equations for a linear operator. Zbl 0056.34102
Magnus, Wilhelm
1954
Stochastic differential equations with reflecting boundary conditions. Zbl 0598.60060
Lions, Pierre-Louis; Sznitman, A. S.
1984
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
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
Nonparabolic dissipative systems modeling the flow of liquid crystals. Zbl 0842.35084
Lin, Fang-Hua; Liu, Chun
1995
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
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
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
Asymptotically self-similar blow-up of semilinear heat equations. Zbl 0585.35051
Giga, Yoshikazu; Kohn, Robert V.
1985
Inverse scattering on the line. Zbl 0388.34005
Deift, P.; Trubowitz, E.
1979
Symmetric positive linear differential equations. Zbl 0083.31802
Friedrichs, K. O.
1958
Riemannian center of mass and mollifier smoothing. Zbl 0354.57005
Karcher, H.
1977
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
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
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
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
Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density. Zbl 0937.35134
Xin, Zhouping
1998
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
Radiation boundary conditions for wave-like equations. Zbl 0438.35043
Bayliss, Alvin; Turkel, Eli
1980
Uniform decay estimates and the Lorentz invariance of the classical wave equation. Zbl 0635.35059
Klainerman, Sergiu
1985
Isoperimetric and Sobolev inequalities for Carnot-Carathéodory spaces and the existence of minimal surfaces. Zbl 0880.35032
Garofalo, Nicola; Nhieu, Duy-Minh
1996
Symmetric hyperbolic linear differential equations. Zbl 0059.08902
Friedrichs, K. O.
1954
The mass of an asymptotically flat manifold. Zbl 0598.53045
Bartnik, Robert
1986
Phase transitions and generalized motion by mean curvature. Zbl 0801.35045
Evans, L. C.; Soner, H. M.; Souganidis, P. E.
1992
Exact steady periodic water waves with vorticity. Zbl 1038.76011
2004
Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070
Engquist, Bjorn; Majda, Andrew
1979
Periodic solutions of nonlinear hyperbolic partial differential equations. Zbl 0152.10003
Rabinowitz, P. H.
1967
Newton’s method and periodic solutions of nonlinear wave equations. Zbl 0794.35104
Craig, Walter; Wayne, C. Eugene
1993
Remarks on some quasilinear elliptic equations. Zbl 0325.35038
Kazdan, Jerry L.; Warner, Frank W.
1975
Periodic solutions of Hamiltonian systems. Zbl 0358.70014
Rabinowitz, Paul H.
1978
On the regularity of the solution of a variational inequality. Zbl 0167.11501
Lewy, Hans; Stampacchia, G.
1969
Asymptotic evaluation of certain Markov process expectations for large time. I. Zbl 0323.60069
Donsker, M. D.; Varadhan, S. R. S.
1975
Compressible and incompressible fluids. Zbl 0478.76091
Klainerman, Sergiu; Majda, Andrew
1982
A new proof of the Caffarelli-Kohn-Nirenberg theorem. Zbl 0958.35102
Lin, Fanghua
1998
Remarks on finding critical points. Zbl 0751.58006
Brézis, Haïm; Nirenberg, Louis
1991
The regularization of the Kepler’s problem and the averaging method on a manifold. Zbl 0193.53803
Moser, Jürgen
1970
Non-coercive boundary value problems. Zbl 0125.33302
Kohn, J. J.; Nirenberg, Louis
1965
Nonlinear theory of defects in nematic liquid crystals; phase transition and flow phenomena. Zbl 0703.35173
Lin, Fanghua
1989
Global solutions of nonlinear hyperbolic equations for small initial data. Zbl 0612.35090
Christodoulou, Demetrios
1986
Front propagation in periodic excitable media. Zbl 1024.37054
Berestycki, Henri; Hamel, François
2002
Brownian motion and Harnack inequality for Schrödinger operators. Zbl 0459.60069
Aizenman, M.; Simon, B.
1982
Homogenization limits and Wigner transforms. Zbl 0881.35099
Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric
1997
Remarks on strongly elliptic partial differential equations. Zbl 0067.07602
Nirenberg, Louis
1955
Classical solutions of fully nonlinear, convex, second-order elliptic equations. Zbl 0469.35022
Evans, Lawrence C.
1982
Structure of the set of stationary solutions of the Navier Stokes equations. Zbl 0335.35077
Foiaş, Ciprian; Temam, R.
1977
On the Yau-Tian-Donaldson conjecture for singular Fano varieties. Zbl 07382001
Li, Chi; Tian, Gang; Wang, Feng
2021
Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below II. Zbl 1482.53052
Liu, Gang; Szekelyhidi, Gábor
2021
Global mild solutions of the Landau and non-cutoff Boltzmann equations. Zbl 1476.35161
Duan, Renjun; Liu, Shuangqian; Sakamoto, Shota; Strain, Robert M.
2021
Following the ground states of full-rsb spherical spin glasses. Zbl 1467.82097
Subag, Eliran
2021
Liouville theorems and a Schwarz lemma for holomorphic mappings between Kähler manifolds. Zbl 1477.32045
Ni, Lei
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
Additivity of higher rho invariants and nonrigidity of topological manifolds. Zbl 1476.57044
Weinberger, Shmuel; Xie, Zhizhang; Yu, Guoliang
2021
Consistent inversion of noisy non-abelian X-ray transforms. Zbl 07363259
Monard, François; Nickl, Richard; Paternain, Gabriel P.
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
Almost-rigidity of frameworks. Zbl 07405489
Holmes-Cerfon, Miranda; Theran, Louis; Gortler, Steven J.
2021
Quantitative estimates for regular Lagrangian flows with BV vector fields. Zbl 1469.35091
Nguyen, Quoc-Hung
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
Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Zbl 1467.82092
Frank, Rupert L.; Seiringer, Robert
2021
Log-Sobolev inequality for the continuum sine-Gordon model. Zbl 1475.60144
Bauerschmidt, Roland; Bodineau, Thierry
2021
KAM theorem with normal frequencies of finite limit-points for some shallow water equations. Zbl 1475.37082
Yuan, Xiaoping
2021
A scalar version of the Caflisch-Luke paradox. Zbl 1479.76025
Gloria, Antoine
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
DLR equations and rigidity for the sine-beta process. Zbl 1467.82013
Dereudre, David; Hardy, Adrien; Leblé, Thomas; Maïda, Mylène
2021
Isoperimetry, scalar curvature, and mass in asymptotically flat Riemannian 3-manifolds. Zbl 1470.53036
Chodosh, Otis; Eichmair, Michael; Shi, Yuguang; Yu, Haobin
2021
Quantitative linearization results for the Monge-Ampère equation. Zbl 1480.35082
Goldman, Michael; Huesmann, Martin; Otto, Felix
2021
Concentration versus oscillation effects in brittle damage. Zbl 07396339
Babadjian, Jean-François; Iurlano, Flaviana; Rindler, Filip
2021
Classification of generalized Kähler-Ricci solitons on complex surfaces. Zbl 07396341
Streets, Jeffrey; Ustinovskiy, Yury
2021
For most frequencies, strong trapping has a weak effect in frequency-domain scattering. Zbl 07405485
Lafontaine, David; Spence, Euan A.; Wunsch, Jared
2021
Gaussian regularization of the pseudospectrum and Davies’ conjecture. Zbl 1480.15014
Banks, Jess; Kulkarni, Archit; Mukherjee, Satyaki; Srivastava, Nikhil
2021
Upper tail large deviations in first passage percolation. Zbl 1470.60269
Basu, Riddhipratim; Sly, Allan; Ganguly, Shirshendu
2021
Real analytic local well-posedness for the triple deck. Zbl 1476.35200
2021
Water-waves problem with surface tension in a corner domain II: the local well-posedness. Zbl 1471.35239
Ming, Mei; Wang, Chao
2021
Homogenization, linearization, and large-scale regularity for nonlinear elliptic equations. Zbl 1467.35032
Armstrong, Scott; Ferguson, Samuel J.; Kuusi, Tuomo
2021
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 07360989
Iserles, Arieh; Webb, Marcus
2021
Maximal hypersurfaces over exterior domains. Zbl 1467.35148
Hong, Guanghao; Yuan, Yu
2021
Optimal error estimates for analytic continuation in the upper half-plane. Zbl 1469.30110
Grabovsky, Yury; Hovsepyan, Narek
2021
Strict inequality for the chemical distance exponent in two-dimensional critical percolation. Zbl 1475.82010
Damron, Michael; Hanson, Jack; Sosoe, Philippe
2021
Sharp extinction rates for fast diffusion equations on generic bounded domains. Zbl 1467.35047
Bonforte, Matteo; Figalli, Alessio
2021
On the convex geometry of blind deconvolution and matrix completion. Zbl 07363253
Krahmer, Felix; Stöger, Dominik
2021
On the well-posedness of branched transportation. Zbl 1468.90031
Colombo, Maria; De Rosa, Antonio; Marchese, Andrea
2021
The continuous-time lace expansion. Zbl 07433689
Brydges, David; Helmuth, Tyler; Holmes, Mark
2021
Cycle class maps and birational invariants. Zbl 07447014
Hassett, Brendan; Tschinkel, Yuri
2021
Lipschitz bounds and nonuniform ellipticity. Zbl 1445.35140
Beck, Lisa; Mingione, Giuseppe
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
Constancy of the dimension for Rcd$$(K,N)$$ spaces via regularity of Lagrangian flows. Zbl 1442.35054
Brué, Elia; Semola, Daniele
2020
Space-time localisation for the dynamic $$\Phi_3^4$$ model. Zbl 1455.35309
Moinat, Augustin; Weber, Hendrik
2020
Direct epiperimetric inequalities for the thin obstacle problem and applications. Zbl 1433.49010
Colombo, Maria; Spolaor, Luca; Velichkov, Bozhidar
2020
Determination of space-time structures from gravitational perturbations. Zbl 1450.83002
Uhlmann, Gunther; Wang, Yiran
2020
Symmetries and critical phenomena in fluids. Zbl 1442.76031
Elgindi, Tarek M.; Jeong, In-Jee
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
2020
Deterministic guarantees for Burer-Monteiro factorizations of smooth semidefinite programs. Zbl 1445.90074
Boumal, Nicolas; Voroninski, Vladislav; Bandeira, Afonso S.
2020
Global solution for massive Maxwell-Klein-Gordon equations. Zbl 1433.35386
Klainerman, Sergiu; Wang, Qian; Yang, Shiwu
2020
The generalized Caffarelli-Kohn-Nirenberg theorem for the hyperdissipative Navier-Stokes system. Zbl 1442.35298
Colombo, Maria; De Lellis, Camillo; Massaccesi, Annalisa
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 07274491
Hong, Hoon; Ovchinnikov, Alexey; Pogudin, Gleb; Yap, Chee
2020
Global bifurcation of rotating vortex patches. Zbl 1452.76038
Hassainia, Zineb; Masmoudi, Nader; Wheeler, Miles H.
2020
A general mechanism of diffusion in Hamiltonian systems: qualitative results. Zbl 1437.37072
Gidea, Marian; La Llave, Rafael De; M-Seara, Tere
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
Pseudospectral bound and transition threshold for the 3D Kolmogorov flow. Zbl 1442.35346
Li, Te; Wei, Dongyi; Zhang, Zhifei
2020
Theoretical justification and error analysis for slender body theory. Zbl 1447.35253
Mori, Yoichiro; Ohm, Laurel; Spirn, Daniel
2020
Quantization in geometric pluripotential theory. Zbl 1445.53062
Darvas, Tamás; Lu, Chinh H.; Rubinstein, Yanir A.
2020
Equivalence of the ellipticity conditions for geometric variational problems. Zbl 1452.49006
De Rosa, Antonio; Kolasiński, Sławomir
2020
Optimal Besov differentiability for entropy solutions of the eikonal equation. Zbl 1437.35135
Ghiraldin, Francesco; Lamy, Xavier
2020
Maximum of the characteristic polynomial for a random permutation matrix. Zbl 1469.60026
Cook, Nicholas; Zeitouni, Ofer
2020
A De Giorgi-type conjecture for minimal solutions to a nonlinear Stokes equation. Zbl 1441.35008
2020
Exponential decay for the near-critical scaling limit of the planar Ising model. Zbl 1446.82004
Camia, Federico; Jiang, Jianping; Newman, Charles M.
2020
The regularity of parametrized integer stationary varifolds in two dimensions. Zbl 07274494
Pigati, Alessandro; Rivière, Tristan
2020
Vortex layers of small thickness. Zbl 1452.35146
Caflisch, R. E.; Lombardo, M. C.; Sammartino, M. M. L.
2020
Singular Abreu equations and minimizers of convex functionals with a convexity constraint. Zbl 1455.90128
Le, Nam Q.
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
Attractors for two-dimensional waves with homogeneous Hamiltonians of degree 0. Zbl 1442.35331
Colin de Verdière, Yves; Saint-Raymond, Laure
2020
Fast binary embeddings and quantized compressed sensing with structured matrices. Zbl 1452.94016
Huynh, Thang; Saab, Rayan
2020
Nonfattening of mean curvature flow at singularities of mean convex type. Zbl 1441.53077
Hershkovits, Or; White, Brian
2020
On the global behavior of weak null quasilinear wave equations. Zbl 1445.35252
Deng, Yu; Pusateri, Fabio
2020
From 1 to 6 : a finer analysis of perturbed branching Brownian motion. Zbl 1445.60060
Bovier, Anton; Hartung, Lisa
2020
A proof of Sznitman’s conjecture about ballistic RWRE. Zbl 1456.60271
Guerra, Enrique; Ramírez, Alejandro F.
2020
On the solution of the Stokes equation on regions with corners. Zbl 1467.35262
Rachh, Manas; Serkh, Kirill
2020
On the stability of solitary water waves with a point vortex. Zbl 1460.76342
Varholm, Kristoffer; Wahlén, Erik; Walsh, Samuel
2020
On heavy-tail phenomena in some large-deviations problems. Zbl 1469.60085
Augeri, Fanny
2020
Normalized harmonic map heat flow. Zbl 1445.58008
Struwe, Michael
2020
Spectral exterior calculus. Zbl 1447.58009
Berry, Tyrus; Giannakis, Dimitrios
2020
On the singular set of free interface in an optimal partition problem. Zbl 1442.05019
Alper, Onur
2020
The Gauss image problem. Zbl 1456.52002
Böröczky, Károly J.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong; Zhao, Yiming
2020
Dimension reduction for thin films with transversally varying prestrain: oscillatory and nonoscillatory cases. Zbl 1452.49026
Lewicka, Marta; Lučić, Danka
2020
Corrigendum to: “Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions”. Zbl 1452.35099
Koumatos, Konstantino; Spirito, Stefano
2020
Restricted percolation critical exponents in high dimensions. Zbl 1453.82033
Chatterjee, Shirshendu; Hanson, Jack
2020
Sharp estimate of global Coulomb gauge. Zbl 1458.35399
Wang, Yu
2020
The sphere covering inequality and its dual. Zbl 1455.35305
Gui, Changfeng; Hang, Fengbo; Moradifam, Amir
2020
Robustness of Liouville measure under a family of stable diffusions. Zbl 1469.53079
Ledrappier, François; Shu, Lin
2020
Analysis, simulation, and optimization of stochastic vesicle dynamics in synaptic transmission. Zbl 1431.92027
Zhang, Calvin; Peskin, Charles S.
2020
Onsager’s conjecture for admissible weak solutions. Zbl 1480.35317
Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun.; Vicol, Vlad
2019
MHD boundary layers theory in Sobolev spaces without monotonicity. I: Well-posedness theory. Zbl 1404.35492
Liu, Cheng-jie; Xie, Feng; Yang, Tong
2019
Nonuniqueness of weak solutions to the SQG equation. Zbl 1427.35200
Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad
2019
A robust inverse scattering transform for the focusing nonlinear Schrödinger equation. Zbl 1435.35343
Bilman, Deniz; Miller, Peter D.
2019
The incompressible Navier-Stokes equations in vacuum. Zbl 1420.35182
Danchin, Raphaël; Mucha, Piotr Bogusław
2019
Stable Gabor phase retrieval and spectral clustering. Zbl 1460.94022
Grohs, Philipp; Rathmair, Martin
2019
Upper bounds on Liouville first-passage percolation and Watabiki’s prediction. Zbl 1442.60098
Ding, Jian; Goswami, Subhajit
2019
Maximum of the Riemann zeta function on a short interval of the critical line. Zbl 1443.11161
2019
Topology and nesting of the zero set components of monochromatic random waves. Zbl 1473.60095
Canzani, Yaiza; Sarnak, Peter
2019
Thermodynamic limit for directed polymers and stationary solutions of the Burgers equation. Zbl 1455.60134
Bakhtin, Yuri; Li, Liying
2019
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### Cited by 46,041 Authors

 195 Wei, Juncheng 137 Guo, Boling 111 Yin, Zhaoyang 105 Noor, Muhammad Aslam 104 Valdinoci, Enrico 103 Yang, Tong 99 Kenig, Carlos Eduardo 97 Xin, Zhouping 90 Caffarelli, Luis Ángel 88 Fan, Jishan 87 Vazquez, Juan Luis 85 Feireisl, Eduard 83 Byun, Sun-Sig 81 Chen, Gui-Qiang G. 81 Lin, Chang-Shou 81 Yang, Dachun 80 Nazarov, Sergeĭ Aleksandrovich 80 Rădulescu, Vicenţiu D. 76 Majda, Andrew J. 76 Zhou, Yong 75 Masmoudi, Nader 74 Zou, Wenming 73 Del Pino, Manuel A. 72 Zhang, Zhifei 71 Uhlmann, Gunther Alberto 71 Zumbrun, Kevin R. 70 Figalli, Alessio 68 Alves, Claudianor Oliveira 66 Li, YanYan 65 de Lima, Henrique F. 65 Li, Wan-Tong 65 Lin, Fang Hua 65 Wang, Lihe 63 Musso, Monica 62 Véron, Laurent 61 Friedman, Avner 61 Merle, Frank 61 Pistoia, Angela 61 Simon, Barry 60 Carrillo de la Plata, José Antonio 60 Hamel, François 60 Titi, Edriss Saleh 60 Zhao, Huijiang 59 Tang, Xianhua 58 Gesztesy, Fritz 58 Peng, Shuangjie 58 Wang, Shu 57 Ambrosio, Luigi 57 Liu, Yue 57 Miyagaki, Olimpio Hiroshi 56 Guo, Zongming 56 Lu, Guozhen 56 Sire, Yannick 55 Dong, Hongjie 55 Ponce, Gustavo 55 Schechter, Martin 54 Do Ó, João M. Bezerra 54 Erdős, László 54 Hayashi, Nakao 54 LeFloch, Philippe Gerard 54 Lions, Pierre-Louis 54 Liu, Jianguo 54 Liu, Tai-Ping 54 Zhu, Changjiang 53 Berestycki, Henri 53 Cao, Daomin 53 Constantin, Adrian 52 Nakamura, Gen 52 Otto, Felix 52 Wu, Jiahong 51 Helffer, Bernard 51 Novaga, Matteo 50 Kukavica, Igor 50 Long, Yiming 50 Tataru, Daniel 50 Wang, Zhi-Qiang 50 Yan, Shusen 49 Hou, Thomas Yizhao 49 Jost, Jürgen 49 Niu, Pengcheng 49 Shu, Chi-Wang 48 Conti, Sergio 48 de la Llave, Rafael 48 Gala, Sadek 48 Huang, Feimin 48 Rossi, Julio Daniel 48 Tan, Zhong 48 Trudinger, Neil Sidney 47 Chae, Dongho 47 Dolbeault, Jean 47 Naumkin, Pavel Ivanovich 47 Quaas, Alexander 47 Wang, Dehua 46 Ambrosio, Vincenzo 46 Brézis, Haïm 46 Constantin, Peter 46 Dipierro, Serena 46 Jin, Shi 46 Maz’ya, Vladimir Gilelevich 46 Pucci, Patrizia ...and 45,941 more Authors
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### Cited in 1,156 Journals

 3,271 Journal of Differential Equations 2,600 Journal of Mathematical Analysis and Applications 1,744 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,695 Communications in Mathematical Physics 1,670 Archive for Rational Mechanics and Analysis 1,654 Journal of Mathematical Physics 1,489 Journal of Functional Analysis 1,308 Communications in Partial Differential Equations 1,189 Calculus of Variations and Partial Differential Equations 1,155 Transactions of the American Mathematical Society 1,145 Journal of Computational Physics 871 Proceedings of the American Mathematical Society 839 Advances in Mathematics 701 Mathematische Annalen 690 Discrete and Continuous Dynamical Systems 686 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 647 Journal of Statistical Physics 631 Mathematische Zeitschrift 599 Physica D 592 SIAM Journal on Mathematical Analysis 564 Journal de Mathématiques Pures et Appliquées. Neuvième Série 549 The Journal of Geometric Analysis 536 Applied Mathematics and Computation 524 Nonlinear Analysis. Theory, Methods & Applications 517 Applicable Analysis 493 Computer Methods in Applied Mechanics and Engineering 483 Annali di Matematica Pura ed Applicata. Serie Quarta 467 Communications on Pure and Applied Mathematics 466 ZAMP. Zeitschrift für angewandte Mathematik und Physik 460 Duke Mathematical Journal 452 Journal of Computational and Applied Mathematics 421 Communications on Pure and Applied Analysis 417 Inventiones Mathematicae 397 Computers & Mathematics with Applications 397 Mathematical Methods in the Applied Sciences 383 Nonlinear Analysis. Real World Applications 371 Journal of Mathematical Sciences (New York) 368 Applied Mathematics Letters 366 Probability Theory and Related Fields 362 Mathematics of Computation 362 The Annals of Probability 354 Comptes Rendus. Mathématique. Académie des Sciences, Paris 353 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 352 Journal of Scientific Computing 341 Applied and Computational Harmonic Analysis 334 Stochastic Processes and their Applications 330 Journal of Fluid Mechanics 318 Manuscripta Mathematica 314 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 312 Communications in Contemporary Mathematics 303 Annales de l’Institut Fourier 288 Numerische Mathematik 286 Journal d’Analyse Mathématique 283 Science China. Mathematics 267 Nonlinearity 263 Journal of Geometry and Physics 262 Journal of Mathematical Fluid Mechanics 254 Acta Mathematica Sinica. English Series 251 Journal of Nonlinear Science 245 Wave Motion 245 Acta Applicandae Mathematicae 245 Annales Henri Poincaré 244 NoDEA. Nonlinear Differential Equations and Applications 243 Journal of Dynamics and Differential Equations 243 Boundary Value Problems 238 Journal of Hyperbolic Differential Equations 229 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 225 Mathematical Notes 224 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 223 Applied Numerical Mathematics 211 Abstract and Applied Analysis 207 Computers and Fluids 201 SIAM Journal on Scientific Computing 196 The Journal of Fourier Analysis and Applications 196 Bulletin of the American Mathematical Society 194 Bulletin of the American Mathematical Society. New Series 193 Journal of Evolution Equations 192 Journal of Soviet Mathematics 192 Siberian Mathematical Journal 192 Linear Algebra and its Applications 189 Discrete and Continuous Dynamical Systems. Series B 189 Complex Variables and Elliptic Equations 188 Chinese Annals of Mathematics. Series B 187 Journal of the European Mathematical Society (JEMS) 186 Letters in Mathematical Physics 185 Theoretical and Mathematical Physics 185 Potential Analysis 180 Israel Journal of Mathematics 180 Advanced Nonlinear Studies 165 Acta Mathematica 163 Mathematische Nachrichten 163 Studies in Applied Mathematics 160 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 157 Journal of Approximation Theory 156 Annals of Global Analysis and Geometry 156 The Annals of Applied Probability 155 Journal of the American Mathematical Society 154 Inverse Problems 154 Physics of Fluids 153 Journal of Elasticity ...and 1,056 more Journals
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### Cited in 63 Fields

 37,788 Partial differential equations (35-XX) 10,968 Fluid mechanics (76-XX) 7,429 Numerical analysis (65-XX) 5,884 Differential geometry (53-XX) 5,502 Probability theory and stochastic processes (60-XX) 4,979 Dynamical systems and ergodic theory (37-XX) 4,832 Global analysis, analysis on manifolds (58-XX) 4,314 Operator theory (47-XX) 3,924 Statistical mechanics, structure of matter (82-XX) 3,902 Calculus of variations and optimal control; optimization (49-XX) 3,414 Ordinary differential equations (34-XX) 3,321 Mechanics of deformable solids (74-XX) 2,990 Quantum theory (81-XX) 2,395 Functional analysis (46-XX) 2,309 Harmonic analysis on Euclidean spaces (42-XX) 1,795 Biology and other natural sciences (92-XX) 1,768 Several complex variables and analytic spaces (32-XX) 1,407 Information and communication theory, circuits (94-XX) 1,309 Mechanics of particles and systems (70-XX) 1,223 Optics, electromagnetic theory (78-XX) 1,143 Computer science (68-XX) 1,095 Operations research, mathematical programming (90-XX) 1,075 Algebraic geometry (14-XX) 1,045 Linear and multilinear algebra; matrix theory (15-XX) 1,016 Statistics (62-XX) 1,011 Functions of a complex variable (30-XX) 988 Integral equations (45-XX) 978 Systems theory; control (93-XX) 967 Relativity and gravitational theory (83-XX) 871 Real functions (26-XX) 837 Potential theory (31-XX) 817 Manifolds and cell complexes (57-XX) 740 Number theory (11-XX) 641 Geophysics (86-XX) 631 Approximations and expansions (41-XX) 597 Topological groups, Lie groups (22-XX) 589 Group theory and generalizations (20-XX) 584 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 556 Measure and integration (28-XX) 556 Classical thermodynamics, heat transfer (80-XX) 543 Special functions (33-XX) 459 Combinatorics (05-XX) 442 Convex and discrete geometry (52-XX) 394 Abstract harmonic analysis (43-XX) 337 Integral transforms, operational calculus (44-XX) 328 Difference and functional equations (39-XX) 306 Nonassociative rings and algebras (17-XX) 255 Algebraic topology (55-XX) 223 Associative rings and algebras (16-XX) 217 Mathematical logic and foundations (03-XX) 215 Astronomy and astrophysics (85-XX) 166 General and overarching topics; collections (00-XX) 154 History and biography (01-XX) 150 General topology (54-XX) 106 Geometry (51-XX) 99 Commutative algebra (13-XX) 98 Field theory and polynomials (12-XX) 50 $$K$$-theory (19-XX) 43 Category theory; homological algebra (18-XX) 40 Order, lattices, ordered algebraic structures (06-XX) 29 Sequences, series, summability (40-XX) 15 Mathematics education (97-XX) 10 General algebraic systems (08-XX)