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: 3,110 Publications (since 1949) References Indexed: 2,821 Publications with 65,151 References. all top 5 Latest Issues 78, No. 2 (2025) 78, No. 1 (2025) 77, No. 12 (2024) 77, No. 11 (2024) 77, No. 10 (2024) 77, No. 9 (2024) 77, No. 8 (2024) 77, No. 7 (2024) 77, No. 6 (2024) 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) ...and 367 more Volumes all top 5 Authors 54 Lin, Fang Hua 53 Lax, Peter David 43 Nirenberg, Louis 36 Caffarelli, Luis Ángel 35 McKean, Henry P. jun. 35 Shapiro, Harold N. 35 Varadhan, S. R. Srinivasa 31 John, Fritz 30 Kohn, Robert Vita 30 Majda, Andrew Joseph 28 Synge Morawetz, Cathleen 27 Keller, Joseph Bishop 26 Schwartz, Jacob Theodore 24 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 Figalli, Alessio 15 Moser, Jürgen K. 15 Shatah, Jalal 14 Brézis, Haïm 14 Li, YanYan 14 Otto, Felix 14 Strauss, Walter Alexander 14 Vanden-Eijnden, Eric 13 E, Weinan 13 Hou, Thomas Yizhao 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 Constantin, Peter 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 Rivière, Tristan 9 Stroock, Daniel W. 9 Sznitman, Alain-Sol 9 Uhlmann, Gunther Alberto 9 Wei, Juncheng 8 Ambrosio, Luigi 8 Brendle, Simon 8 Chen, Gui-Qiang G. 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 Percus, Jerome K. 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 Weinstein, Michael I. ...and 2,503 more Authors all top 5 Fields 1,295 Partial differential equations (35-XX) 418 Fluid mechanics (76-XX) 291 Probability theory and stochastic processes (60-XX) 207 Statistical mechanics, structure of matter (82-XX) 206 Differential geometry (53-XX) 194 Global analysis, analysis on manifolds (58-XX) 178 Dynamical systems and ergodic theory (37-XX) 139 Numerical analysis (65-XX) 137 Calculus of variations and optimal control; optimization (49-XX) 105 Ordinary differential equations (34-XX) 103 Quantum theory (81-XX) 98 Operator theory (47-XX) 89 Mechanics of deformable solids (74-XX) 75 Number theory (11-XX) 55 Functional analysis (46-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 44 Biology and other natural sciences (92-XX) 42 Optics, electromagnetic theory (78-XX) 41 Combinatorics (05-XX) 40 Manifolds and cell complexes (57-XX) 39 Functions of a complex variable (30-XX) 39 Harmonic analysis on Euclidean spaces (42-XX) 38 Algebraic geometry (14-XX) 38 Mechanics of particles and systems (70-XX) 37 Several complex variables and analytic spaces (32-XX) 36 Computer science (68-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) 25 Mathematical logic and foundations (03-XX) 24 Potential theory (31-XX) 24 Convex and discrete geometry (52-XX) 23 Real functions (26-XX) 23 Statistics (62-XX) 22 Measure and integration (28-XX) 20 Geophysics (86-XX) 19 Algebraic topology (55-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) 17 Integral transforms, operational calculus (44-XX) 14 Special functions (33-XX) 14 Abstract harmonic analysis (43-XX) 14 Astronomy and astrophysics (85-XX) 13 General topology (54-XX) 10 History and biography (01-XX) 10 Associative rings and algebras (16-XX) 9 Difference and functional equations (39-XX) 8 Field theory and polynomials (12-XX) 6 Approximations and expansions (41-XX) 6 Geometry (51-XX) 5 General and overarching topics; collections (00-XX) 5 \(K\)-theory (19-XX) 4 Commutative algebra (13-XX) 4 Nonassociative rings and algebras (17-XX) 4 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 2,896 Publications have been cited 139,446 times in 90,635 Documents Cited by ▼ Year ▼ Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029 Brézis, Haïm; Nirenberg, Louis 1,728 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 1,429 1959 Hyperbolic systems of conservation laws. II. Zbl 0081.08803 Lax, Peter D. 1,146 1957 Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066 Kato, Tosio; Ponce, Gustavo 1,095 1988 Integrals of nonlinear equations of evolution and solitary waves. Zbl 0162.41103 Lax, Peter D. 1,094 1968 On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I. Zbl 0369.53059 Yau, Shing-Tung 981 1978 Orthonormal bases of compactly supported wavelets. Zbl 0644.42026 Daubechies, Ingrid 843 1988 On functions of bounded mean oscillation. Zbl 0102.04302 John, Fritz; Nirenberg, Louis 843 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 828 1964 The partial differential equation \(u_t+uu_x=\mu u_{xx}\). Zbl 0039.10403 Hopf, Eberhard 819 1950 Optimal approximations by piecewise smooth functions and associated variational problems. Zbl 0691.49036 Mumford, David; Shah, Jayant 786 1989 Variational inequalities. Zbl 0152.34601 Lions, J. L.; Stampacchia, G. 784 1967 Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067 Caffarelli, L.; Kohn, R.; Nirenberg, Louis 758 1982 Stable signal recovery from incomplete and inaccurate measurements. Zbl 1098.94009 Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence 747 2006 Global and local behavior of positive solutions of nonlinear elliptic equations. Zbl 0465.35003 Gidas, B.; Spruck, J. 740 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 736 1993 Some mathematical questions related to the MHD equations. Zbl 0524.76099 Sermange, Michel; Temam, Roger 723 1983 Regularity of the obstacle problem for a fractional power of the Laplace operator. Zbl 1141.49035 Silvestre, Luis 703 2007 An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Zbl 1077.65055 Daubechies, Ingrid; Defrise, Michel; De Mol, Christine 702 2004 Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Zbl 0702.35085 Caffarelli, Luis A.; Gidas, Basilis; Spruck, Joel 698 1989 Stability of peakons. Zbl 1049.35149 Constantin, Adrian; Strauss, Walter A. 673 2000 Solutions in the large for nonlinear hyperbolic systems of equations. Zbl 0141.28902 Glimm, J. 667 1965 On a Hilbert space of analytic functions and an associated integral transform. Zbl 0107.09102 Bargmann, V. 657 1961 On the kinetic theory of rarefied gases. Zbl 0037.13104 Grad, Harold 646 1949 Weak solutions of nonlinear hyperbolic equations and their numerical computation. Zbl 0055.19404 Lax, Peter D. 608 1954 Systems of conservation laws. Zbl 0152.44802 Lax, Peter D.; Wendroff, B. 606 1960 Polar factorization and monotone rearrangement of vector-valued functions. Zbl 0738.46011 Brenier, Yann 604 1991 Classification of solutions for an integral equation. Zbl 1093.45001 Chen, Wenxiong; Li, Congming; Ou, Biao 582 2006 Estimates for the \(\bar \partial_b\) complex and analysis on the Heisenberg group. Zbl 0293.35012 Folland, G. B.; Stein, Elias M. 541 1974 Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068 Klainerman, Sergiu; Majda, Andrew 519 1981 Harmonic functions on complete Riemannian manifolds. Zbl 0291.31002 Yau, Shing-tung 519 1975 Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation. Zbl 0934.35153 Constantin, Adrian; Escher, Joachim 486 1998 On Harnack type inequalities and their application to quasilinear elliptic equations. Zbl 0153.42703 Trudinger, N. S. 473 1967 Differential equations on Riemannian manifolds and their geometric applications. Zbl 0312.53031 Cheng, S. Y.; Yau, Shing-Tung 472 1975 Asymptotic speeds of spread and traveling waves for monotone semiflows with applications. Zbl 1106.76008 Liang, Xing; Zhao, Xiao-Qiang 472 2007 On solutions of \(\Delta u=f(u)\). Zbl 0090.31801 Keller, Joseph B. 459 1957 Approximation of functionals depending on jumps by elliptic functionals via \(\Gamma\)-convergence. Zbl 0722.49020 Ambrosio, Luigi; Tortorelli, Vincenzo Maria 458 1990 On Harnack’s theorem for elliptic differential equations. Zbl 0111.09302 Moser, Jürgen 453 1961 A new proof of de Giorgi’s theorem concerning the regularity problem for elliptic differential equations. Zbl 0111.09301 Moser, Jürgen 448 1960 Fast wavelet transforms and numerical algorithms. I. Zbl 0722.65022 Beylkin, G.; Coifman, R.; Rokhlin, V. 437 1991 Biorthogonal bases of compactly supported wavelets. Zbl 0776.42020 Cohen, A.; Daubechies, Ingrid; Feauveau, J.-C. 436 1992 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 435 1988 A shallow water equation on the circle. Zbl 0940.35177 Constantin, A.; McKean, H. P. 430 1999 On the exponential solution of differential equations for a linear operator. Zbl 0056.34102 Magnus, Wilhelm 419 1954 A Harnack inequality for parabolic differential equations. Zbl 0149.06902 Moser, Jürgen 389 1964 Lyapunov stability of ground states of nonlinear dispersive evolution equations. Zbl 0594.35005 Weinstein, Michael I. 387 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 386 2002 On the weak solutions to a shallow water equation. Zbl 1048.35092 Xin, Zhouping; Zhang, Ping 381 2000 The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Zbl 0826.65078 Jin, Shi; Xin, Zhouping 380 1995 On the existence of Hermitian-Yang-Mills connections in stable vector bundles. Zbl 0615.58045 Uhlenbeck, K.; Yau, S. T. 377 1986 Nonparabolic dissipative systems modeling the flow of liquid crystals. Zbl 0842.35084 Lin, Fang-Hua; Liu, Chun 375 1995 On the shape of least-energy solutions to a semilinear Neumann problem. Zbl 0754.35042 Ni, Wei-Ming; Takagi, Izumi 374 1991 Stochastic differential equations with reflecting boundary conditions. Zbl 0598.60060 Lions, Pierre-Louis; Sznitman, A. S. 371 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. 369 1994 Regularity theory for fully nonlinear integro-differential equations. Zbl 1170.45006 Caffarelli, Luis; Silvestre, Luis 369 2009 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. 352 1999 On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions. Zbl 1072.35506 Catrina, Florin; Wang, Zhi-Qiang 351 2001 Inverse scattering on the line. Zbl 0388.34005 Deift, P.; Trubowitz, E. 340 1979 On \(W^{1,p}\) estimates for elliptic equations in divergence form. Zbl 0906.35030 Caffarelli, L. A.; Peral, I. 332 1998 The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047 Caffarelli, L.; Nirenberg, Louis; Spruck, J. 330 1984 On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems. Zbl 0151.20203 Agmon, S. 329 1965 Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density. Zbl 0937.35134 Xin, Zhouping 322 1998 The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060 Fischer-Colbrie, Doris; Schoen, Richard 316 1980 Riemannian center of mass and mollifier smoothing. Zbl 0354.57005 Karcher, H. 313 1977 Hyperbolic conservation laws with stiff relaxation terms and entropy. Zbl 0806.35112 Chen, Gui-Qiang; Levermore, C. David; Liu, Tai-Ping 302 1994 On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems. Zbl 0109.32701 Agmon, S. 302 1962 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 299 2012 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 295 2011 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. 294 1974 The mass of an asymptotically flat manifold. Zbl 0598.53045 Bartnik, Robert 294 1986 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. 293 1999 Uniqueness of radial solutions for the fractional Laplacian. Zbl 1365.35206 Frank, Rupert L.; Lenzmann, Enno; Silvestre, Luis 293 2016 New tight frames of curvelets and optimal representations of objects with piecewise \(C ^{2}\) singularities. Zbl 1038.94502 Candès, Emmanuel J.; Donoho, David L. 292 2004 Asymptotically self-similar blow-up of semilinear heat equations. Zbl 0585.35051 Giga, Yoshikazu; Kohn, Robert V. 287 1985 Symmetric positive linear differential equations. Zbl 0083.31802 Friedrichs, K. O. 286 1958 Isoperimetric and Sobolev inequalities for Carnot-Carathéodory spaces and the existence of minimal surfaces. Zbl 0880.35032 Garofalo, Nicola; Nhieu, Duy-Minh 284 1996 Homoclinic type solutions for a semilinear elliptic PDE on \(\mathbb{R}^ n\). Zbl 0785.35029 Coti Zelati, Vittorio; Rabinowitz, Paul H. 281 1992 Phase transitions and generalized motion by mean curvature. Zbl 0801.35045 Evans, L. C.; Soner, H. M.; Souganidis, P. E. 281 1992 Uniform decay estimates and the Lorentz invariance of the classical wave equation. Zbl 0635.35059 Klainerman, Sergiu 273 1985 Morse-type index theory for flows and periodic solutions for Hamiltonian equations. Zbl 0559.58019 Conley, Charles; Zehnder, Eduard 272 1984 Radiation boundary conditions for wave-like equations. Zbl 0438.35043 Bayliss, Alvin; Turkel, Eli 270 1980 Newton’s method and periodic solutions of nonlinear wave equations. Zbl 0794.35104 Craig, Walter; Wayne, C. Eugene 269 1993 Compressible and incompressible fluids. Zbl 0478.76091 Klainerman, Sergiu; Majda, Andrew 268 1982 A new proof of the Caffarelli-Kohn-Nirenberg theorem. Zbl 0958.35102 Lin, Fanghua 266 1998 Nonlocal minimal surfaces. Zbl 1248.53009 Caffarelli, L.; Roquejoffre, J.-M.; Savin, O. 265 2010 Periodic solutions of Hamiltonian systems. Zbl 0358.70014 Rabinowitz, Paul H. 264 1978 Nonlinear theory of defects in nematic liquid crystals; phase transition and flow phenomena. Zbl 0703.35173 Lin, Fanghua 262 1989 Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070 Engquist, Bjorn; Majda, Andrew 260 1979 Global solutions of nonlinear hyperbolic equations for small initial data. Zbl 0612.35090 Christodoulou, Demetrios 260 1986 Classical solutions of fully nonlinear, convex, second-order elliptic equations. Zbl 0469.35022 Evans, Lawrence C. 259 1982 Exact steady periodic water waves with vorticity. Zbl 1038.76011 Constantin, Adrian; Strauss, Walter 258 2004 Symmetric hyperbolic linear differential equations. Zbl 0059.08902 Friedrichs, K. O. 256 1954 Application of Brownian motion to the equation of Kolmogorov-Petrovskii- Piskunov. Zbl 0316.35053 McKean, H. P. 253 1975 An algebra of pseudo-differential operators. Zbl 0171.35101 Kohn, J. J.; Nirenberg, Louis 248 1965 Brownian motion and Harnack inequality for Schrödinger operators. Zbl 0459.60069 Aizenman, M.; Simon, B. 246 1982 Asymptotic evaluation of certain Markov process expectations for large time. I. Zbl 0323.60069 Donsker, M. D.; Varadhan, S. R. S. 245 1975 The regularization of the Kepler’s problem and the averaging method on a manifold. Zbl 0193.53803 Moser, Jürgen 245 1970 Rational and elliptic solutions of the Korteweg-de Vries equation and a related many body problem. Zbl 0338.35024 Airault, H.; McKean, H. P.; Moser, Jürgen 244 1977 Survey of the stability of linear finite difference equations. Zbl 0072.08903 Lax, Peter D.; Richtmyer, R. D. 241 1956 Front propagation in periodic excitable media. Zbl 1024.37054 Berestycki, Henri; Hamel, François 239 2002 On the wave turbulence theory of 2D gravity waves. I: Deterministic energy estimates. Zbl 07960943 Deng, Yu; Ionescu, Alexandru D.; Pusateri, Fabio 1 2025 Pure gravity traveling quasi-periodic water waves with constant vorticity. Zbl 07793220 Berti, Massimiliano; Franzoi, Luca; Maspero, Alberto 9 2024 Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems. Zbl 1533.37165 Colbrook, Matthew J.; Townsend, Alex 7 2024 Fermi isospectrality for discrete periodic Schrödinger operators. Zbl 1537.81086 Liu, Wencai 6 2024 The Calogero-Moser derivative nonlinear Schrödinger equation. Zbl 07896921 Gérard, Patrick; Lenzmann, Enno 5 2024 Stationary measure for the open KPZ equation. Zbl 1532.60137 Corwin, Ivan; Knizel, Alisa 5 2024 Magnetic helicity, weak solutions and relaxation of ideal MHD. Zbl 07807925 Faraco, Daniel; Lindberg, Sauli; Székelyhidi, László jun. 5 2024 Global solutions of the compressible Euler-Poisson equations with large initial data of spherical symmetry. Zbl 1540.35402 Chen, Gui-Qiang G.; He, Lin; Wang, Yong; Yuan, Difan 5 2024 Prescribed curvature measure problem in hyperbolic space. Zbl 1539.53050 Yang, Fengrui 5 2024 Chord measures in integral geometry and their Minkowski problems. Zbl 07846680 Lutwak, Erwin; Xi, Dongmeng; Yang, Deane; Zhang, Gaoyong 5 2024 Log-Sobolev inequality for near critical Ising models. Zbl 07807928 Bauerschmidt, Roland; Dagallier, Benoit 4 2024 A dynamical approach to the study of instability near Couette flow. Zbl 07836772 Li, Hui; Masmoudi, Nader; Zhao, Weiren 4 2024 On the Maxwell-Bloch system in the sharp-line limit without solitons. Zbl 07782033 Li, Sitai; Miller, Peter D. 4 2024 Convergence of the self-dual \(U(1)\)-Yang-Mills-Higgs energies to the \((n-2)\)-area functional. Zbl 1536.81007 Parise, Davide; Pigati, Alessandro; Stern, Daniel 4 2024 Magnetic slowdown of topological edge states. Zbl 1537.81119 Bal, Guillaume; Becker, Simon; Drouot, Alexis 3 2024 On the incompressible limit for a tumour growth model incorporating convective effects. Zbl 1533.92043 David, Noemi; Schmidtchen, Markus 3 2024 Long range order for random field Ising and Potts models. Zbl 07782025 Ding, Jian; Zhuang, Zijie 3 2024 Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension. Zbl 1536.53097 Wang, Jinmin; Xie, Zhizhang; Yu, Guoliang 3 2024 Hearing the shape of ancient noncollapsed flows in \(\mathbb{R}^4\). Zbl 1530.35136 Du, Wenkui; Haslhofer, Robert 3 2024 Existence of multi-dimensional contact discontinuities for the ideal compressible magnetohydrodynamics. Zbl 07782035 Wang, Yanjin; Xin, Zhouping 3 2024 Landscape complexity beyond invariance and the elastic manifold. Zbl 07793227 Ben Arous, Gérard; Bourgade, Paul; McKenna, Benjamin 3 2024 Global minimizers of a large class of anisotropic attractive-repulsive interaction energies in 2D. Zbl 07793228 Carrillo, José A.; Shu, Ruiwen 3 2024 Logarithmic cotangent bundles, Chern-Mather classes, and the Huh-Sturmfels involution conjecture. Zbl 1546.14015 Maxim, Laurenţiu G.; Rodriguez, Jose Israel; Wang, Botong; Wu, Lei 3 2024 Soft Riemann-Hilbert problems and planar orthogonal polynomials. Zbl 1542.35271 Hedenmalm, Haakan 2 2024 Critical local well-posedness for the fully nonlinear Peskin problem. Zbl 1531.35247 Cameron, Stephen; Strain, Robert M. 2 2024 A scaling limit of the parabolic Anderson model with exclusion interaction. Zbl 07793221 Erhard, Dirk; Hairer, Martin 2 2024 Conformal covariance of connection probabilities and fields in 2D critical percolation. Zbl 1537.81184 Camia, Federico 2 2024 Log-Sobolev inequality for the \(\varphi^4_2\) and \(\varphi^4_3\) measures. Zbl 1543.81004 Bauerschmidt, Roland; Dagallier, Benoit 2 2024 Well-posedness of stochastic heat equation with distributional drift and skew stochastic heat equation. Zbl 1536.35389 Athreya, Siva; Butkovsky, Oleg; Lê, Khoa; Mytnik, Leonid 2 2024 Stability of Hill’s spherical vortex. Zbl 07782026 Choi, Kyudong 2 2024 Stability of the tangent bundle through conifold transitions. Zbl 1536.81005 Collins, Tristan; Picard, Sebastien; Yau, Shing-Tung 2 2024 A generalization of Geroch’s conjecture. Zbl 1533.53029 Brendle, Simon; Hirsch, Sven; Johne, Florian 2 2024 Constrained deformations of positive scalar curvature metrics. II. Zbl 1533.83008 Carlotto, Alessandro; Li, Chao 2 2024 Phase diagram and topological expansion in the complex quartic random matrix model. Zbl 1537.81167 Bleher, Pavel; Gharakhloo, Roozbeh; McLaughlin, Kenneth T.-R. 2 2024 Sine-kernel determinant on two large intervals. Zbl 1528.60011 Fahs, Benjamin; Krasovsky, Igor 2 2024 Leapfrogging Vortex rings for the three-dimensional incompressible Euler equations. Zbl 07896919 Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng 1 2024 Arnold diffusion in Hamiltonian systems on infinite lattices. Zbl 07896923 Giuliani, Filippo; Guardia, Marcel 1 2024 Diameter estimates in Kähler geometry. Zbl 1547.53083 Guo, Bin; Phong, Duong H.; Song, Jian; Sturm, Jacob 1 2024 Non-degenerate minimal submanifolds as energy concentration sets: a variational approach. Zbl 07896927 De Philippis, Guido; Pigati, Alessandro 1 2024 Local laws and a mesoscopic CLT for \(\beta\)-ensembles. Zbl 07807927 Peilen, Luke 1 2024 Sharp asymptotic estimates for expectations, probabilities, and mean first passage times in stochastic systems with small noise. Zbl 1532.60053 Grafke, Tobias; Schäfer, Tobias; Vanden-Eijnden, Eric 1 2024 Hölder regularity of the Boltzmann equation past an obstacle. Zbl 1533.35052 Kim, Chanwoo; Lee, Donghyun 1 2024 Quantitative homogenization of principal Dirichlet eigenvalue shape optimizers. Zbl 1539.35151 Feldman, William M. 1 2024 Integrability of SLE via conformal welding of random surfaces. Zbl 1543.81066 Ang, Morris; Holden, Nina; Sun, Xin 1 2024 Shattering versus metastability in spin glasses. Zbl 07782027 Ben Arous, Gérard; Jagannath, Aukosh 1 2024 Free boundary partial regularity in the thin obstacle problem. Zbl 1537.35125 Franceschini, Federico; Serra, Joaquim 1 2024 Complex analytic dependence on the dielectric permittivity in ENZ materials: the photonic doping example. Zbl 07793226 Kohn, Robert V.; Venkatraman, Raghavendra 1 2024 Discrete honeycombs, rational edges, and edge states. Zbl 07793233 Fefferman, Charles L.; Fliss, Sonia; Weinstein, Michael I. 1 2024 Spectrum of random \(d\)-regular graphs up to the edge. Zbl 1531.05220 Huang, Jiaoyang; Yau, Horng-Tzer 1 2024 The anisotropic min-max theory: existence of anisotropic minimal and CMC surfaces. Zbl 1545.53011 De Philippis, Guido; De Rosa, Antonio 1 2024 Overcrowding and separation estimates for the Coulomb gas. Zbl 07846679 Thoma, Eric 1 2024 Inhomogeneous turbulence for the Wick nonlinear Schrödinger equation. Zbl 07946993 Hani, Zaher; Shatah, Jalal; Zhu, Hui 1 2024 Allen-Cahn solutions with triple junction structure at infinity. Zbl 07946994 Sandier, Étienne; Sternberg, Peter 1 2024 Sobolev inequalities in manifolds with nonnegative curvature. Zbl 1527.53030 Brendle, Simon 19 2023 A talenti comparison result for solutions to elliptic problems with Robin boundary conditions. Zbl 1525.35076 Alvino, Angelo; Nitsch, Carlo; Trombetti, Cristina 13 2023 Formation of point shocks for 3D compressible Euler. Zbl 1527.35230 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 13 2023 Long-time instability of the Couette flow in low Gevrey spaces. Zbl 1525.35029 Deng, Yu; Masmoudi, Nader 12 2023 Shock formation and vorticity creation for 3d Euler. Zbl 1527.35229 Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad 12 2023 Nonlinear inviscid damping and shear-buoyancy instability in the two-dimensional Boussinesq equations. 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Zbl 1533.81034 Ge, Lingrui; Kachkovskiy, Ilya 3 2023 The Brownian Castle. Zbl 1540.60205 Cannizzaro, Giuseppe; Hairer, Martin 3 2023 Global well-posedness for the one-phase Muskat problem. Zbl 1526.35331 Dong, Hongjie; Gancedo, Francisco; Huy Q. Nguyen 3 2023 Regularity for convex viscosity solutions of special Lagrangian equation. Zbl 1526.35096 Chen, Jingyi; Shankar, Ravi; Yuan, Yu 3 2023 On the stabilizing effect of rotation in the 3d Euler equations. Zbl 1527.35240 Guo, Yan; Huang, Chunyan; Pausader, Benoit; Widmayer, Klaus 3 2023 Fully nonlinear equations with applications to Grad equations in plasma physics. Zbl 1532.35123 Caffarelli, Luis A.; Tomasetti, Ignacio 2 2023 Vortex filament solutions of the Navier-Stokes equations. Zbl 1529.35327 Bedrossian, Jacob; Germain, Pierre; Harrop-Griffiths, Benjamin 2 2023 Variational methods for a singular SPDE yielding the universality of the magnetization ripple. 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Zbl 1530.53014 Cheng, Da Rong; Zhou, Xin 2 2023 ...and 1784 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 57,509 Authors 236 Wei, Juncheng 164 Guo, Boling 134 Yin, Zhaoyang 117 Yang, Dachun 115 Yang, Tong 114 Valdinoci, Enrico 112 Noor, Muhammad Aslam 111 Zhang, Zhifei 108 Kenig, Carlos Eduardo 108 Xin, Zhouping 106 Rădulescu, Vicenţiu D. 103 Byun, Sun-Sig 102 Fan, Jishan 101 Masmoudi, Nader 97 Tang, Chun-Lei 96 Feireisl, Eduard 95 Chen, Gui-Qiang G. 94 Caffarelli, Luis Ángel 93 Zou, Wenming 91 Nazarov, Sergeĭ Aleksandrovich 90 Lin, Chang-Shou 89 Alves, Claudianor Oliveira 89 Uhlmann, Gunther Alberto 88 Vazquez, Juan Luis 83 Li, YanYan 83 Zhou, Yong 82 Zumbrun, Kevin R. 80 Carrillo de la Plata, José Antonio 80 Del Pino, Manuel A. 80 Figalli, Alessio 79 de Lima, Henrique F. 79 Lin, Fang Hua 78 Majda, Andrew Joseph 77 Li, Wan-Tong 77 Titi, Edriss Saleh 76 Lu, Guozhen 75 Tan, Zhong 73 Erdős, László 73 Pistoia, Angela 73 Wang, Shu 72 Geng, Xianguo 71 Dong, Hongjie 71 Musso, Monica 71 Peng, Shuangjie 71 Sire, Yannick 70 Do Ó, João M. 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