Communications on Pure and Applied MathematicsIssued 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: https://onlinelibrary.wiley.com/loi/10970312 Predecessor: Communications on Applied Mathematics Comments: Journal; Indexed cover-to-cover Documents Indexed: 3,072 Publications (since 1949) References Indexed: 2,571 Publications with 54,514 References. all top 5 Latest Issues 77, No. 5 (2024) 77, No. 4 (2024) 77, No. 3 (2024) 77, No. 2 (2024) 77, No. 1 (2024) 76, No. 12 (2023) 76, No. 11 (2023) 76, No. 10 (2023) 76, No. 9 (2023) 76, No. 8 (2023) 76, No. 7 (2023) 76, No. 6 (2023) 76, No. 5 (2023) 76, No. 4 (2023) 76, No. 3 (2023) 76, No. 2 (2023) 76, No. 1 (2023) 75, No. 12 (2022) 75, No. 11 (2022) 75, No. 10 (2022) 75, No. 9 (2022) 75, No. 8 (2022) 75, No. 7 (2022) 75, No. 6 (2022) 75, No. 5 (2022) 75, No. 4 (2022) 75, No. 3 (2022) 75, No. 2 (2022) 75, No. 1 (2022) 74, No. 12 (2021) 74, No. 11 (2021) 74, No. 10 (2021) 74, No. 9 (2021) 74, No. 8 (2021) 74, No. 7 (2021) 74, No. 6 (2021) 74, No. 5 (2021) 74, No. 4 (2021) 74, No. 3 (2021) 74, No. 2 (2021) 74, No. 1 (2021) 73, No. 12 (2020) 73, No. 11 (2020) 73, No. 10 (2020) 73, No. 9 (2020) 73, No. 8 (2020) 73, No. 7 (2020) 73, No. 6 (2020) 73, No. 5 (2020) 73, No. 4 (2020) 73, No. 3 (2020) 73, No. 2 (2020) 73, No. 1 (2020) 72, No. 12 (2019) 72, No. 11 (2019) 72, No. 10 (2019) 72, No. 9 (2019) 72, No. 8 (2019) 72, No. 7 (2019) 72, No. 6 (2019) 72, No. 5 (2019) 72, No. 4 (2019) 72, No. 3 (2019) 72, No. 2 (2019) 72, No. 1 (2019) 71, No. 12 (2018) 71, No. 11 (2018) 71, No. 10 (2018) 71, No. 9 (2018) 71, No. 8 (2018) 71, No. 7 (2018) 71, No. 6 (2018) 71, No. 5 (2018) 71, No. 4 (2018) 71, No. 3 (2018) 71, No. 2 (2018) 71, No. 1 (2018) 70, No. 12 (2017) 70, No. 11 (2017) 70, No. 10 (2017) 70, No. 9 (2017) 70, No. 8 (2017) 70, No. 7 (2017) 70, No. 6 (2017) 70, No. 5 (2017) 70, No. 4 (2017) 70, No. 3 (2017) 70, No. 2 (2017) 70, No. 1 (2017) 69, No. 12 (2016) 69, No. 11 (2016) 69, No. 10 (2016) 69, No. 9 (2016) 69, No. 8 (2016) 69, No. 7 (2016) 69, No. 6 (2016) 69, No. 5 (2016) 69, No. 4 (2016) 69, No. 3 (2016) 69, No. 2 (2016) ...and 358 more Volumes all top 5 Authors 53 Lax, Peter David 53 Lin, Fang Hua 43 Nirenberg, Louis 36 Caffarelli, Luis Ángel 35 Shapiro, Harold N. 35 Varadhan, S. R. Srinivasa 34 McKean, Henry P. jun. 31 John, Fritz 30 Kohn, Robert Vita 30 Majda, Andrew J. 28 Synge Morawetz, Cathleen 27 Keller, Joseph Bishop 26 Schwartz, Jacob Theodore 23 Masmoudi, Nader 22 Deift, Percy A. 19 Phillips, Ralph Saul 18 Friedrichs, Kurt Otto 18 Venakides, Stephanos 18 Xin, Zhouping 17 Klainerman, Sergiu 17 Liu, Tai-Ping 16 Garabedian, Paul Roesel 15 Ben Arous, Gérard 15 Moser, Jürgen K. 14 Brézis, Haïm 14 Figalli, Alessio 14 Shatah, Jalal 14 Strauss, Walter Alexander 14 Vanden-Eijnden, Eric 13 E, Weinan 13 Hou, Thomas Yizhao 13 Li, YanYan 13 Otto, Felix 13 Peters, Arthur S. 13 Schechter, Martin 13 Smoller, Joel Alan 13 Tabak, Esteban G. 13 Trubowitz, Eugene 13 Yau, Shing-Tung 12 Donsker, Monroe D. 12 Douglis, Avron 12 Lin, Chang-Shou 12 Spruck, Joel 12 Trèves, François 12 Zhang, Ping 11 Cappell, Sylvain E. 11 Guo, Yan 11 Hairer, Martin 11 Papanicolaou, George C. 11 Ralston, James V. 11 Stoker, James J. 11 Weinberger, Shmuel 11 Yau, Horng-Tzer 11 Zhou, Xin 10 Agmon, Shmuel 10 Caflisch, Russel E. 10 Hirsch, Warren M. 10 Hörmander, Lars 10 Magnus, Wilhelm 10 Rabinowitz, Paul Henry 10 Sidoravicius, Vladas 10 Souganidis, Panagiotis E. 10 Widlund, Olof B. 9 Berestycki, Henri 9 Bers, Lipman 9 De Lellis, Camillo 9 Ferro, Alfredo 9 Grad, Harold 9 Hildebrandt, Stefan 9 Karp, Samuel N. 9 Lions, Pierre-Louis 9 Osher, Stanley Joel 9 Peskin, Charles S. 9 Stroock, Daniel W. 9 Sznitman, Alain-Sol 9 Uhlmann, Gunther Alberto 8 Ambrosio, Luigi 8 Brendle, Simon 8 Constantin, Peter 8 Engquist, Bjorn E. 8 Golse, François 8 Greengard, Leslie F. 8 Greenleaf, Frederick P. 8 Hang, Fengbo 8 Keller, Herbert Bishop 8 Laurence, Peter 8 Levermore, C. David 8 McLaughlin, Kenneth D. T.-R. 8 Rivière, Tristan 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 Weinstein, Michael I. 8 Zeng, Chongchun 8 Zhang, Zhifei ...and 2,456 more Authors all top 5 Fields 1,267 Partial differential equations (35-XX) 415 Fluid mechanics (76-XX) 283 Probability theory and stochastic processes (60-XX) 198 Statistical mechanics, structure of matter (82-XX) 197 Differential geometry (53-XX) 187 Global analysis, analysis on manifolds (58-XX) 173 Dynamical systems and ergodic theory (37-XX) 140 Numerical analysis (65-XX) 132 Calculus of variations and optimal control; optimization (49-XX) 106 Ordinary differential equations (34-XX) 99 Quantum theory (81-XX) 96 Operator theory (47-XX) 88 Mechanics of deformable solids (74-XX) 74 Number theory (11-XX) 55 Functional analysis (46-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 44 Biology and other natural sciences (92-XX) 41 Optics, electromagnetic theory (78-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 40 Manifolds and cell complexes (57-XX) 37 Combinatorics (05-XX) 36 Functions of a complex variable (30-XX) 36 Several complex variables and analytic spaces (32-XX) 36 Computer science (68-XX) 36 Mechanics of particles and systems (70-XX) 34 Algebraic geometry (14-XX) 33 Group theory and generalizations (20-XX) 32 Information and communication theory, circuits (94-XX) 31 Integral equations (45-XX) 27 Relativity and gravitational theory (83-XX) 26 Operations research, mathematical programming (90-XX) 23 Potential theory (31-XX) 23 Convex and discrete geometry (52-XX) 22 Mathematical logic and foundations (03-XX) 22 Real functions (26-XX) 22 Statistics (62-XX) 21 Measure and integration (28-XX) 20 Algebraic topology (55-XX) 20 Geophysics (86-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Systems theory; control (93-XX) 18 Classical thermodynamics, heat transfer (80-XX) 17 Topological groups, Lie groups (22-XX) 16 Integral transforms, operational calculus (44-XX) 14 Abstract harmonic analysis (43-XX) 13 Special functions (33-XX) 13 General topology (54-XX) 13 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) 2 Category theory; homological algebra (18-XX) 2 Sequences, series, summability (40-XX) 1 Order, lattices, ordered algebraic structures (06-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,822 Publications have been cited 128,361 times in 83,601 Documents Cited by ▼ Year ▼ Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029 Brézis, Haïm; Nirenberg, Louis 1,595 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 1,379 1959 Hyperbolic systems of conservation laws. II. Zbl 0081.08803 Lax, Peter D. 1,073 1957 Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066 Kato, Tosio; Ponce, Gustavo 999 1988 Integrals of nonlinear equations of evolution and solitary waves. Zbl 0162.41103 Lax, Peter D. 916 1968 On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I. Zbl 0369.53059 Yau, Shing-Tung 901 1978 Orthonormal bases of compactly supported wavelets. Zbl 0644.42026 Daubechies, Ingrid 813 1988 On functions of bounded mean oscillation. Zbl 0102.04302 John, Fritz; Nirenberg, Louis 797 1961 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 786 1964 Variational inequalities. Zbl 0152.34601 Lions, J. L.; Stampacchia, G. 744 1967 Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036 Mumford, David; Shah, Jayant 729 1989 Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067 Caffarelli, L.; Kohn, R.; Nirenberg, Louis 703 1982 Stable signal recovery from incomplete and inaccurate measurements. Zbl 1098.94009 Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence 694 2006 Global and local behavior of positive solutions of nonlinear elliptic equations. Zbl 0465.35003 Gidas, B.; Spruck, J. 681 1981 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 677 1993 The partial differential equation \(u_t+uu_x=\mu u_{xx}\). Zbl 0039.10403 Hopf, Eberhard 675 1950 Some mathematical questions related to the MHD equations. Zbl 0524.76099 Sermange, Michel; Temam, Roger 655 1983 Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Zbl 0702.35085 Caffarelli, Luis A.; Gidas, Basilis; Spruck, Joel 644 1989 Regularity of the obstacle problem for a fractional power of the Laplace operator. Zbl 1141.49035 Silvestre, Luis 638 2007 An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Zbl 1077.65055 Daubechies, Ingrid; Defrise, Michel; De Mol, Christine 627 2004 Solutions in the large for nonlinear hyperbolic systems of equations. Zbl 0141.28902 Glimm, J. 606 1965 Stability of peakons. Zbl 1049.35149 Constantin, Adrian; Strauss, Walter A. 604 2000 On a Hilbert space of analytic functions and an associated integral transform. Zbl 0107.09102 Bargmann, V. 597 1961 On the kinetic theory of rarefied gases. Zbl 0037.13104 Grad, Harold 580 1949 Polar factorization and monotone rearrangement of vector-valued functions. Zbl 0738.46011 Brenier, Yann 550 1991 Classification of solutions for an integral equation. Zbl 1093.45001 Chen, Wenxiong; Li, Congming; Ou, Biao 542 2006 Systems of conservation laws. Zbl 0152.44802 Lax, Peter D.; Wendroff, B. 531 1960 Weak solutions of nonlinear hyperbolic equations and their numerical computation. Zbl 0055.19404 Lax, Peter D. 523 1954 Estimates for the \(\bar \partial_b\) complex and analysis on the Heisenberg group. Zbl 0293.35012 Folland, G. B.; Stein, Elias M. 505 1974 Harmonic functions on complete Riemannian manifolds. Zbl 0291.31002 Yau, Shing-tung 480 1975 Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068 Klainerman, Sergiu; Majda, Andrew 479 1981 Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation. Zbl 0934.35153 Constantin, Adrian; Escher, Joachim 446 1998 Differential equations on Riemannian manifolds and their geometric applications. Zbl 0312.53031 Cheng, S. Y.; Yau, Shing-Tung 444 1975 On Harnack type inequalities and their application to quasilinear elliptic equations. Zbl 0153.42703 Trudinger, N. S. 440 1967 On solutions of \(\Delta u=f(u)\). Zbl 0090.31801 Keller, Joseph B. 438 1957 On Harnack’s theorem for elliptic differential equations. Zbl 0111.09302 Moser, Jürgen 429 1961 Fast wavelet transforms and numerical algorithms. I. Zbl 0722.65022 Beylkin, G.; Coifman, R.; Rokhlin, V. 421 1991 Biorthogonal bases of compactly supported wavelets. Zbl 0776.42020 Cohen, A.; Daubechies, Ingrid; Feauveau, J.-C. 421 1992 Asymptotic speeds of spread and traveling waves for monotone semiflows with applications. Zbl 1106.76008 Liang, Xing; Zhao, Xiao-Qiang 414 2007 A new proof of de Giorgi’s theorem concerning the regularity problem for elliptic differential equations. Zbl 0111.09301 Moser, Jürgen 411 1960 Approximation of functionals depending on jumps by elliptic functionals via \(\Gamma\)-convergence. Zbl 0722.49020 Ambrosio, Luigi; Tortorelli, Vincenzo Maria 410 1990 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 402 1988 A shallow water equation on the circle. Zbl 0940.35177 Constantin, A.; McKean, H. P. 378 1999 A Harnack inequality for parabolic differential equations. Zbl 0149.06902 Moser, Jürgen 372 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 367 2002 Lyapunov stability of ground states of nonlinear dispersive evolution equations. Zbl 0594.35005 Weinstein, Michael I. 363 1986 On the shape of least-energy solutions to a semilinear Neumann problem. Zbl 0754.35042 Ni, Wei-Ming; Takagi, Izumi 357 1991 On the exponential solution of differential equations for a linear operator. Zbl 0056.34102 Magnus, Wilhelm 357 1954 On the weak solutions to a shallow water equation. Zbl 1048.35092 Xin, Zhouping; Zhang, Ping 355 2000 Stochastic differential equations with reflecting boundary conditions. Zbl 0598.60060 Lions, Pierre-Louis; Sznitman, A. S. 354 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. 352 1994 Nonparabolic dissipative systems modeling the flow of liquid crystals. Zbl 0842.35084 Lin, Fang-Hua; Liu, Chun 344 1995 The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Zbl 0826.65078 Jin, Shi; Xin, Zhouping 340 1995 Regularity theory for fully nonlinear integro-differential equations. Zbl 1170.45006 Caffarelli, Luis; Silvestre, Luis 339 2009 On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions. Zbl 1072.35506 Catrina, Florin; Wang, Zhi-Qiang 337 2001 On the existence of Hermitian-Yang-Mills connections in stable vector bundles. Zbl 0615.58045 Uhlenbeck, K.; Yau, S. T. 337 1986 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. 329 1999 On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems. Zbl 0151.20203 Agmon, S. 326 1965 Inverse scattering on the line. Zbl 0388.34005 Deift, P.; Trubowitz, E. 309 1979 On \(W^{1,p}\) estimates for elliptic equations in divergence form. Zbl 0906.35030 Caffarelli, L. A.; Peral, I. 309 1998 The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047 Caffarelli, L.; Nirenberg, Louis; Spruck, J. 300 1984 On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems. Zbl 0109.32701 Agmon, S. 297 1962 The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060 Fischer-Colbrie, Doris; Schoen, Richard 294 1980 Hyperbolic conservation laws with stiff relaxation terms and entropy. Zbl 0806.35112 Chen, Gui-Qiang; Levermore, C. David; Liu, Tai-Ping 289 1994 Riemannian center of mass and mollifier smoothing. Zbl 0354.57005 Karcher, H. 286 1977 Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density. Zbl 0937.35134 Xin, Zhouping 280 1998 Asymptotically self-similar blow-up of semilinear heat equations. Zbl 0585.35051 Giga, Yoshikazu; Kohn, Robert V. 278 1985 New tight frames of curvelets and optimal representations of objects with piecewise \(C ^{2}\) singularities. Zbl 1038.94502 Candès, Emmanuel J.; Donoho, David L. 278 2004 Symmetric positive linear differential equations. Zbl 0083.31802 Friedrichs, K. O. 274 1958 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. 270 1999 Isoperimetric and Sobolev inequalities for Carnot-Carathéodory spaces and the existence of minimal surfaces. Zbl 0880.35032 Garofalo, Nicola; Nhieu, Duy-Minh 270 1996 The mass of an asymptotically flat manifold. Zbl 0598.53045 Bartnik, Robert 269 1986 Morse-type index theory for flows and periodic solutions for Hamiltonian equations. Zbl 0559.58019 Conley, Charles; Zehnder, Eduard 264 1984 Homoclinic type solutions for a semilinear elliptic PDE on \(\mathbb{R}^ n\). Zbl 0785.35029 Coti Zelati, Vittorio; Rabinowitz, Paul H. 262 1992 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. 259 1974 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 256 2012 Uniform decay estimates and the Lorentz invariance of the classical wave equation. Zbl 0635.35059 Klainerman, Sergiu 255 1985 Phase transitions and generalized motion by mean curvature. Zbl 0801.35045 Evans, L. C.; Soner, H. M.; Souganidis, P. E. 254 1992 Compressible and incompressible fluids. Zbl 0478.76091 Klainerman, Sergiu; Majda, Andrew 251 1982 Uniqueness of radial solutions for the fractional Laplacian. Zbl 1365.35206 Frank, Rupert L.; Lenzmann, Enno; Silvestre, Luis 250 2016 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 245 2011 Radiation boundary conditions for wave-like equations. Zbl 0438.35043 Bayliss, Alvin; Turkel, Eli 244 1980 Global solutions of nonlinear hyperbolic equations for small initial data. Zbl 0612.35090 Christodoulou, Demetrios 244 1986 A new proof of the Caffarelli-Kohn-Nirenberg theorem. Zbl 0958.35102 Lin, Fanghua 243 1998 Classical solutions of fully nonlinear, convex, second-order elliptic equations. Zbl 0469.35022 Evans, Lawrence C. 240 1982 Periodic solutions of Hamiltonian systems. Zbl 0358.70014 Rabinowitz, Paul H. 240 1978 Symmetric hyperbolic linear differential equations. Zbl 0059.08902 Friedrichs, K. O. 240 1954 Exact steady periodic water waves with vorticity. Zbl 1038.76011 Constantin, Adrian; Strauss, Walter 239 2004 Newton’s method and periodic solutions of nonlinear wave equations. Zbl 0794.35104 Craig, Walter; Wayne, C. Eugene 238 1993 Nonlocal minimal surfaces. Zbl 1248.53009 Caffarelli, L.; Roquejoffre, J.-M.; Savin, O. 238 2010 Nonlinear theory of defects in nematic liquid crystals; phase transition and flow phenomena. Zbl 0703.35173 Lin, Fanghua 237 1989 Brownian motion and Harnack inequality for Schrödinger operators. Zbl 0459.60069 Aizenman, M.; Simon, B. 233 1982 Asymptotic evaluation of certain Markov process expectations for large time. I. Zbl 0323.60069 Donsker, M. D.; Varadhan, S. R. S. 232 1975 Front propagation in periodic excitable media. Zbl 1024.37054 Berestycki, Henri; Hamel, François 232 2002 Remarks on some quasilinear elliptic equations. Zbl 0325.35038 Kazdan, Jerry L.; Warner, Frank W. 230 1975 The regularization of the Kepler’s problem and the averaging method on a manifold. Zbl 0193.53803 Moser, Jürgen 230 1970 Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070 Engquist, Bjorn; Majda, Andrew 229 1979 Application of Brownian motion to the equation of Kolmogorov-Petrovskii- Piskunov. Zbl 0316.35053 McKean, H. P. 228 1975 An algebra of pseudo-differential operators. Zbl 0171.35101 Kohn, J. J.; Nirenberg, Louis 225 1965 Structure of the set of stationary solutions of the Navier Stokes equations. Zbl 0335.35077 Foiaş, Ciprian; Temam, R. 221 1977 Log-Sobolev inequality for near critical Ising models. Zbl 07807928 Bauerschmidt, Roland; Dagallier, Benoit 3 2024 Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension. Zbl 07782031 Wang, Jinmin; Xie, Zhizhang; Yu, Guoliang 1 2024 Convergence of the self-dual \(U(1)\)-Yang-Mills-Higgs energies to the \((n-2)\)-area functional. Zbl 07782037 Parise, Davide; Pigati, Alessandro; Stern, Daniel 1 2024 Critical local well-posedness for the fully nonlinear Peskin problem. Zbl 07793219 Cameron, Stephen; Strain, Robert M. 1 2024 Pure gravity traveling quasi-periodic water waves with constant vorticity. Zbl 07793220 Berti, Massimiliano; Franzoi, Luca; Maspero, Alberto 1 2024 Sine-kernel determinant on two large intervals. Zbl 1528.60011 Fahs, Benjamin; Krasovsky, Igor 1 2024 Stationary measure for the open KPZ equation. Zbl 07807922 Corwin, Ivan; Knizel, Alisa 1 2024 Log-Sobolev inequality for the \(\varphi^4_2\) and \(\varphi^4_3\) measures. Zbl 07818724 Bauerschmidt, Roland; Dagallier, Benoit 1 2024 Sobolev inequalities in manifolds with nonnegative curvature. Zbl 1527.53030 Brendle, Simon 8 2023 Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Zbl 1524.60020 Cipolloni, Giorgio; Erdős, László; Schröder, Dominik 8 2023 Proof of modulational instability of Stokes waves in deep water. Zbl 1526.76011 Nguyen, Huy Q.; Strauss, Walter A. 7 2023 A talenti comparison result for solutions to elliptic problems with Robin boundary conditions. Zbl 1525.35076 Alvino, Angelo; Nitsch, Carlo; Trombetti, Cristina 6 2023 Existence and uniqueness of Green’s functions to nonlinear Yamabe problems. Zbl 07748322 Li, Yanyan; Luc Nguyen 5 2023 Formation of point shocks for 3D compressible Euler. Zbl 1527.35230 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 5 2023 Strong asymptotics of planar orthogonal polynomials: Gaussian weight perturbed by finite number of point charges. Zbl 1526.30011 Lee, Seung-Yeop; Yang, Meng 5 2023 Singularities almost always scatter: regularity results for non-scattering inhomogeneities. Zbl 1526.35249 Cakoni, Fioralba; Vogelius, Michael S. 5 2023 Contact points with integer frequencies in the thin obstacle problem. Zbl 07757247 Savin, Ovidiu; Yu, Hui 5 2023 On the Yau-Tian-Donaldson conjecture for generalized Kähler-Ricci Soliton equations. Zbl 07748328 Han, Jiyuan; Li, Chi 4 2023 Birkhoff normal form and long time existence for periodic gravity water waves. Zbl 07748348 Berti, Massimiliano; Feola, Roberto; Pusateri, Fabio 4 2023 Linear stability of pipe Poiseuille flow at high Reynolds number regime. Zbl 07748329 Chen, Qi; Wei, Dongyi; Zhang, Zhifei 3 2023 Shock formation and vorticity creation for 3d Euler. Zbl 1527.35229 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 3 2023 Arnold diffusion, quantitative estimates, and stochastic behavior in the three-body problem. Zbl 07748337 Capiński, Maciej J.; Gidea, Marian 3 2023 Ballistic transport for one-dimensional quasiperiodic Schrödinger operators. Zbl 07749390 Ge, Lingrui; Kachkovskiy, Ilya 3 2023 Long-time instability of the Couette flow in low Gevrey spaces. Zbl 1525.35029 Deng, Yu; Masmoudi, Nader 3 2023 Long-time correlations for a hard-sphere gas at equilibrium. Zbl 07757243 Bodineau, Thierry; Gallagher, Isabelle; Saint-Raymond, Laure; Simonella, Sergio 3 2023 Asymptotic stability of harmonic maps on the hyperbolic plane under the Schrödinger maps evolution. Zbl 07748334 Lawrie, Andrew; Lührmann, Jonas; Oh, Sung-Jin; Shahshahani, Sohrab 2 2023 Likelihood maximization and moment matching in low Gaussian mixture models. Zbl 07748340 Katsevich, Anya; Bandeira, Afonso S. 2 2023 Likelihood landscape and maximum likelihood estimation for the discrete orbit recovery model. Zbl 1522.94005 Fan, Zhou; Sun, Yi; Wang, Tianhao; Wu, Yihong 2 2023 A sharp inequality on the exponentiation of functions on the sphere. Zbl 07748345 Chang, Sun-Yung Alice; Gui, Changfeng 2 2023 Traveling wave solutions to the free boundary incompressible Navier-Stokes equations. Zbl 07749389 Leoni, Giovanni; Tice, Ian 2 2023 The Brownian Castle. Zbl 07749392 Cannizzaro, Giuseppe; Hairer, Martin 2 2023 Validity of steady Prandtl layer expansions. Zbl 07749400 Guo, Yan; Iyer, Sameer 2 2023 Nonlinear inviscid damping and shear-buoyancy instability in the two-dimensional Boussinesq equations. Zbl 1527.35259 Bedrossian, Jacob; Bianchini, Roberta; Zelati, Michele Coti; Dolce, Michele 2 2023 Regularity for convex viscosity solutions of special Lagrangian equation. Zbl 1526.35096 Chen, Jingyi; Shankar, Ravi; Yuan, Yu 2 2023 Upper tail large deviations of regular subgraph counts in Erdős-Rényi graphs in the full localized regime. Zbl 07789782 Basak, Anirban; Basu, Riddhipratim 2 2023 Large-scale analyticity and unique continuation for periodic elliptic equations. Zbl 07789783 Armstrong, Scott; Kuusi, Tuomo; Smart, Charles 2 2023 SISTA: learning optimal transport costs under sparsity constraints. Zbl 1528.90022 Carlier, Guillaume; Dupuy, Arnaud; Galichon, Alfred; Sun, Yifei 1 2023 Isotropic-nematic phase transition and liquid crystal droplets. Zbl 07748327 Lin, Fanghua; Wang, Changyou 1 2023 Plateau’s problem as a singular limit of capillarity problems. Zbl 07748343 King, Darren; Maggi, Francesco; Stuvard, Salvatore 1 2023 Generalized TAP free energy. Zbl 07748347 Chen, Wei-Kuo; Panchenko, Dmitry; Subag, Eliran 1 2023 Fast reaction limit with nonmonotone reaction function. Zbl 1525.35017 Perthame, Benoît; Skrzeczkowski, Jakub 1 2023 An extremal problem arising in the dynamics of two-phase materials that directly reveals information about the internal geometry. Zbl 07749387 Mattei, Ornella; Milton, Graeme W.; Putinar, Mihai 1 2023 A relative entropy and a unique continuation result for Ricci expanders. Zbl 1525.35053 Deruelle, Alix; Schulze, Felix 1 2023 The Stationary AKPZ equation: logarithmic superdiffusivity. Zbl 1525.35263 Cannizzaro, Giuseppe; Erhard, Dirk; Toninelli, Fabio 1 2023 Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation. Zbl 1527.35353 Girotti, Manuela; Grava, Tamara; Jenkins, Robert; McLaughlin, Ken T.-R.; Minakov, Alexander 1 2023 The Bessel kernel determinant on large intervals and Birkhoff’s ergodic theorem. Zbl 07749402 Blackstone, Elliot; Charlier, Christophe; Lenells, Jonatan 1 2023 Compressible Navier-Stokes equations with ripped density. Zbl 1526.35259 Danchin, Raphaël; Mucha, Piotr BogusŁaw 1 2023 On the stabilizing effect of rotation in the 3d Euler equations. Zbl 1527.35240 Guo, Yan; Huang, Chunyan; Pausader, Benoit; Widmayer, Klaus 1 2023 Large deviations principle for the cubic NLS equation. Zbl 1527.35378 Garrido, Miguel Angel; Grande, Ricardo; Kurianski, Kristin M.; Staffilani, Gigliola 1 2023 Unique continuation at the boundary for harmonic functions in \(C^1\) domains and Lipschitz domains with small constant. Zbl 07779764 Tolsa, Xavier 1 2023 Ghost point diffusion maps for solving elliptic PDEs on manifolds with classical boundary conditions. Zbl 07779765 Jiang, Shixiao Willing; Harlim, John 1 2023 Prescribing Morse scalar curvatures: pinching and Morse theory. Zbl 07779766 Malchiodi, Andrea; Mayer, Martin 1 2023 The generalization error of random features regression: precise asymptotics and the double descent curve. Zbl 07513415 Mei, Song; Montanari, Andrea 29 2022 Formation of shocks for 2D isentropic compressible Euler. Zbl 1498.35405 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 24 2022 Axi-symmetrization near point vortex solutions for the 2D Euler equation. 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Zbl 1484.32041 Li, Chi; Tian, Gang; Wang, Feng 20 2021 ...and 1750 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 53,292 Authors 219 Wei, Juncheng 152 Guo, Boling 124 Yin, Zhaoyang 110 Valdinoci, Enrico 110 Yang, Tong 109 Noor, Muhammad Aslam 107 Kenig, Carlos Eduardo 106 Yang, Dachun 103 Xin, Zhouping 99 Byun, Sun-Sig 97 Rădulescu, Vicenţiu D. 97 Zhang, Zhifei 95 Caffarelli, Luis Ángel 95 Fan, Jishan 94 Tang, Chun-Lei 92 Chen, Gui-Qiang G. 92 Feireisl, Eduard 92 Masmoudi, Nader 91 Vazquez, Juan Luis 88 Lin, Chang-Shou 88 Zou, Wenming 87 Nazarov, Sergeĭ Aleksandrovich 86 Uhlmann, Gunther Alberto 84 Alves, Claudianor Oliveira 79 de Lima, Henrique F. 77 Figalli, Alessio 76 Del Pino, Manuel A. 76 Majda, Andrew J. 73 Zhou, Yong 73 Zumbrun, Kevin R. 72 Carrillo de la Plata, José Antonio 72 Li, Wan-Tong 72 Titi, Edriss Saleh 71 Lin, Fang Hua 69 Lu, Guozhen 69 Pistoia, Angela 69 Wang, Lihe 69 Wang, Shu 68 Tang, Xianhua 68 Véron, Laurent 67 Dong, Hongjie 67 Erdős, László 67 Hamel, François 67 Li, YanYan 67 Sire, Yannick 66 Liu, Jianguo 65 Miyagaki, Olimpio Hiroshi 65 Musso, Monica 65 Peng, Shuangjie 64 Cao, Daomin 64 Wu, Jiahong 63 Simon, Barry 63 Wang, Zhi-Qiang 63 Zhao, Huijiang 62 Ambrosio, Luigi 62 Guo, Yan 62 Liu, Yue 62 Merle, Frank 62 Novaga, Matteo 61 Friedman, Avner 61 Hayashi, Nakao 61 Tataru, Daniel 60 Do Ó, João M. Bezerra 60 LeFloch, Philippe Gerard 60 Yao, Zhengan 59 Geng, Xianguo 59 Gesztesy, Fritz 59 Otto, Felix 59 Zhu, Changjiang 58 Ambrosio, Vincenzo 58 Guo, Zongming 58 Huang, Feimin 57 Liu, Tai-Ping 56 Berestycki, Henri 56 Chae, Dongho 56 Hou, Thomas Yizhao 56 Kukavica, Igor 56 Nakamura, Gen 56 Ponce, Gustavo 56 Zhang, Ping 55 Lions, Pierre-Louis 55 Naumkin, Pavel Ivanovich 55 Schechter, Martin 54 Constantin, Adrian 54 Lu, Jianfeng 54 Niu, Pengcheng 54 Rossi, Julio Daniel 53 Conti, Sergio 53 Helffer, Bernard 53 Lassas, Matti J. 53 Lee, Ki-Ahm 53 Malchiodi, Andrea 53 Quaas, Alexander 53 Schlein, Benjamin 53 Tan, Zhong 53 Wang, Dehua 53 Yan, Shusen 52 Dipierro, Serena 52 Gala, Sadek 52 Garofalo, Nicola ...and 53,192 more Authors all top 5 Cited in 1,236 Journals 3,658 Journal of Differential Equations 2,808 Journal of Mathematical Analysis and Applications 1,904 Nonlinear Analysis. Theory, Methods & Applications. 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