# zbMATH — the first resource for mathematics

## 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: 2,887 Publications (since 1949) References Indexed: 2,448 Publications with 48,845 References.
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#### Authors

 52 Lax, Peter David 51 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 16 Garabedian, Paul Roesel 16 Liu, Tai-Ping 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 Trubowitz, Eugene 12 Donsker, Monroe D. 12 Douglis, Avron 12 Figalli, Alessio 12 Lin, Chang-Shou 12 Spruck, Joel 12 Tabak, Esteban G. 12 Vanden-Eijnden, Eric 12 Yau, Shing-Tung 11 Ben Arous, Gérard 11 Cappell, Sylvain E. 11 Otto, Felix 11 Papanicolaou, George C. 11 Ralston, James V. 11 Stoker, James J. 11 Trèves, François 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 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 De Lellis, Camillo 8 Greenleaf, Frederick P. 8 Hairer, Martin 8 Keller, Herbert Bishop 8 Laurence, Peter 8 Levermore, C. David 8 Serfaty, Sylvia 8 Sparer, Gerson H. 8 Stredulinsky, Edward W. 8 Taylor, Michael Eugene 8 Ungar, Peter 8 van Moerbeke, Pierre 7 Beale, J. Thomas 7 Candès, Emmanuel J. 7 Cantone, Domenico 7 Chen, Gui-Qiang G. 7 Conley, Charles Cameron 7 Constantin, Peter 7 Engquist, Bjorn E. 7 Epstein, Charles Lawrence 7 Golse, François 7 Goodman, Jonathan B. 7 Greengard, Leslie F. 7 Hardt, Robert M. 7 Kenig, Carlos Eduardo ...and 2,229 more Authors
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#### Fields

 1,176 Partial differential equations (35-XX) 376 Fluid mechanics (76-XX) 253 Probability theory and stochastic processes (60-XX) 182 Global analysis, analysis on manifolds (58-XX) 169 Differential geometry (53-XX) 167 Dynamical systems and ergodic theory (37-XX) 165 Statistical mechanics, structure of matter (82-XX) 131 Numerical analysis (65-XX) 121 Calculus of variations and optimal control; optimization (49-XX) 105 Ordinary differential equations (34-XX) 93 Operator theory (47-XX) 81 Mechanics of deformable solids (74-XX) 77 Quantum theory (81-XX) 72 Number theory (11-XX) 52 Functional analysis (46-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 39 Manifolds and cell complexes (57-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 38 Biology and other natural sciences (92-XX) 36 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 Combinatorics (05-XX) 31 Several complex variables and analytic spaces (32-XX) 31 Integral equations (45-XX) 30 Algebraic geometry (14-XX) 30 Information and communication theory, circuits (94-XX) 28 Computer science (68-XX) 24 Relativity and gravitational theory (83-XX) 22 Potential theory (31-XX) 21 Mathematical logic and foundations (03-XX) 21 Convex and discrete geometry (52-XX) 21 Operations research, mathematical programming (90-XX) 20 Measure and integration (28-XX) 18 Real functions (26-XX) 18 Statistics (62-XX) 18 Geophysics (86-XX) 17 Algebraic topology (55-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Topological groups, Lie groups (22-XX) 16 Integral transforms, operational calculus (44-XX) 16 Systems theory; control (93-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) 7 Field theory and polynomials (12-XX) 7 Difference and functional equations (39-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) 3 $$K$$-theory (19-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX)

#### Citations contained in zbMATH Open

2,659 Publications have been cited 100,486 times in 67,201 Documents Cited by Year
Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029
Brézis, Haïm; Nirenberg, Louis
1983
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Zbl 0093.10401
Agmon, S.; Douglis, A.; Nirenberg, Louis
1959
Hyperbolic systems of conservation laws. II. Zbl 0081.08803
Lax, Peter D.
1957
Commutator estimates and the Euler and Navier-Stokes equations. Zbl 0671.35066
Kato, Tosio; Ponce, Gustavo
1988
Integrals of nonlinear equations of evolution and solitary waves. Zbl 0162.41103
Lax, Peter D.
1968
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
Solutions in the large for nonlinear hyperbolic systems of equations. Zbl 0141.28902
Glimm, J.
1965
Stable signal recovery from incomplete and inaccurate measurements. Zbl 1098.94009
Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence
2006
Global and local behavior of positive solutions of nonlinear elliptic equations. Zbl 0465.35003
Gidas, B.; Spruck, J.
1981
On a Hilbert space of analytic functions and an associated integral transform. Zbl 0107.09102
Bargmann, V.
1961
Some mathematical questions related to the MHD equations. Zbl 0524.76099
Sermange, Michel; Temam, Roger
1983
Stability of peakons. Zbl 1049.35149
Constantin, Adrian; Strauss, Walter A.
2000
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Zbl 0702.35085
Caffarelli, Luis A.; Gidas, Basilis; Spruck, Joel
1989
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
Grad, Harold
1949
The partial differential equation $$u_t+uu_x=\mu u_{xx}$$. Zbl 0039.10403
Hopf, Eberhard
1950
Systems of conservation laws. Zbl 0152.44802
Lax, Peter D.; Wendroff, B.
1960
Regularity of the obstacle problem for a fractional power of the Laplace operator. Zbl 1141.49035
Silvestre, Luis
2007
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
On solutions of $$\Delta u=f(u)$$. Zbl 0090.31801
Keller, Joseph B.
1957
Classification of solutions for an integral equation. Zbl 1093.45001
Chen, Wenxiong; Li, Congming; Ou, Biao
2006
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
Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation. Zbl 0934.35153
Constantin, Adrian; Escher, Joachim
1998
On Harnack’s theorem for elliptic differential equations. Zbl 0111.09302
Moser, Jürgen
1961
Harmonic functions on complete Riemannian manifolds. Zbl 0291.31002
Yau, Shing-tung
1975
On Harnack type inequalities and their application to quasilinear elliptic equations. Zbl 0153.42703
Trudinger, N. S.
1967
Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068
Klainerman, Sergiu; Majda, Andrew
1981
Weak solutions of nonlinear hyperbolic equations and their numerical computation. Zbl 0055.19404
Lax, Peter D.
1954
Differential equations on Riemannian manifolds and their geometric applications. Zbl 0312.53031
Cheng, S. Y.; Yau, Shing-Tung
1975
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
A new proof of de Giorgi’s theorem concerning the regularity problem for elliptic differential equations. Zbl 0111.09301
Moser, Jürgen
1960
On the shape of least-energy solutions to a semilinear Neumann problem. Zbl 0754.35042
Ni, Wei-Ming; Takagi, Izumi
1991
On the weak solutions to a shallow water equation. Zbl 1048.35092
Xin, Zhouping; Zhang, Ping
2000
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
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Zbl 0944.42013
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1999
On the exponential solution of differential equations for a linear operator. Zbl 0056.34102
Magnus, Wilhelm
1954
On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems. Zbl 0151.20203
Agmon, S.
1965
Approximation of functionals depending on jumps by elliptic functionals via $$\Gamma$$-convergence. Zbl 0722.49020
Ambrosio, Luigi; Tortorelli, Vincenzo Maria
1990
On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems. Zbl 0109.32701
Agmon, S.
1962
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
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
The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Zbl 0826.65078
Jin, Shi; Xin, Zhouping
1995
Stochastic differential equations with reflecting boundary conditions. Zbl 0598.60060
Lions, Pierre-Louis; Sznitman, A. S.
1984
Nonparabolic dissipative systems modeling the flow of liquid crystals. Zbl 0842.35084
Lin, Fang-Hua; Liu, Chun
1995
Asymptotic speeds of spread and traveling waves for monotone semiflows with applications. Zbl 1106.76008
Liang, Xing; Zhao, Xiao-Qiang
2007
Asymptotically self-similar blow-up of semilinear heat equations. Zbl 0585.35051
Giga, Yoshikazu; Kohn, Robert V.
1985
Hyperbolic conservation laws with stiff relaxation terms and entropy. Zbl 0806.35112
Chen, Gui-Qiang; Levermore, C. David; Liu, Tai-Ping
1994
On the existence of Hermitian-Yang-Mills connections in stable vector bundles. Zbl 0615.58045
Uhlenbeck, K.; Yau, S. T.
1986
On $$W^{1,p}$$ estimates for elliptic equations in divergence form. Zbl 0906.35030
Caffarelli, L. A.; Peral, I.
1998
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
Regularity theory for fully nonlinear integro-differential equations. Zbl 1170.45006
Caffarelli, Luis; Silvestre, Luis
2009
The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060
Fischer-Colbrie, Doris; Schoen, Richard
1980
Morse-type index theory for flows and periodic solutions for Hamiltonian equations. Zbl 0559.58019
Conley, Charles; Zehnder, Eduard
1984
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
The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047
Caffarelli, L.; Nirenberg, Louis; Spruck, J.
1984
Riemannian center of mass and mollifier smoothing. Zbl 0354.57005
Karcher, H.
1977
Strong asymptotics of orthogonal polynomials with respect to exponential weights. Zbl 1026.42024
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1999
Homoclinic type solutions for a semilinear elliptic PDE on $$\mathbb{R}^ n$$. Zbl 0785.35029
Coti Zelati, Vittorio; Rabinowitz, Paul H.
1992
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
Uniform decay estimates and the Lorentz invariance of the classical wave equation. Zbl 0635.35059
Klainerman, Sergiu
1985
Radiation boundary conditions for wave-like equations. Zbl 0438.35043
Bayliss, Alvin; Turkel, Eli
1980
Periodic solutions of nonlinear hyperbolic partial differential equations. Zbl 0152.10003
Rabinowitz, P. H.
1967
Symmetric hyperbolic linear differential equations. Zbl 0059.08902
Friedrichs, K. O.
1954
Remarks on some quasilinear elliptic equations. Zbl 0325.35038
Kazdan, Jerry L.; Warner, Frank W.
1975
The mass of an asymptotically flat manifold. Zbl 0598.53045
Bartnik, Robert
1986
Isoperimetric and Sobolev inequalities for Carnot-Carathéodory spaces and the existence of minimal surfaces. Zbl 0880.35032
Garofalo, Nicola; Nhieu, Duy-Minh
1996
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
Constantin, Adrian; Strauss, Walter
2004
On the regularity of the solution of a variational inequality. Zbl 0167.11501
Lewy, Hans; Stampacchia, G.
1969
Newton’s method and periodic solutions of nonlinear wave equations. Zbl 0794.35104
Craig, Walter; Wayne, C. Eugene
1993
Periodic solutions of Hamiltonian systems. Zbl 0358.70014
Rabinowitz, Paul H.
1978
Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070
Engquist, Bjorn; Majda, Andrew
1979
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
Asymptotic evaluation of certain Markov process expectations for large time. I. Zbl 0323.60069
Donsker, M. D.; Varadhan, S. R. S.
1975
Remarks on finding critical points. Zbl 0751.58006
Brézis, Haïm; Nirenberg, Louis
1991
Compressible and incompressible fluids. Zbl 0478.76091
Klainerman, Sergiu; Majda, Andrew
1982
Remarks on strongly elliptic partial differential equations. Zbl 0067.07602
Nirenberg, Louis
1955
Nonlinear theory of defects in nematic liquid crystals; phase transition and flow phenomena. Zbl 0703.35173
Lin, Fanghua
1989
A new proof of the Caffarelli-Kohn-Nirenberg theorem. Zbl 0958.35102
Lin, Fanghua
1998
Brownian motion and Harnack inequality for Schrödinger operators. Zbl 0459.60069
Aizenman, M.; Simon, B.
1982
Structure of the set of stationary solutions of the Navier Stokes equations. Zbl 0335.35077
Foiaş, Ciprian; Temam, R.
1977
Global solutions of nonlinear hyperbolic equations for small initial data. Zbl 0612.35090
Christodoulou, Demetrios
1986
Classical solutions of fully nonlinear, convex, second-order elliptic equations. Zbl 0469.35022
Evans, Lawrence C.
1982
The Weyl calculus of pseudo-differential operators. Zbl 0388.47032
Hörmander, L.
1979
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
1977
Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below II. Zbl 07363256
Liu, Gang; Szekelyhidi, Gábor
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 07360794
Tong, Jiajun
2021
Local boundedness and Harnack inequality for solutions of linear nonuniformly elliptic equations. Zbl 07360988
Bella, Peter; Schäffner, Mathias
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 07363255
Chodosh, Otis; Eichmair, Michael; Shi, Yuguang; Yu, Haobin
2021
Global mild solutions of the Landau and non-cutoff Boltzmann equations. Zbl 07363257
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 07363260
Ni, Lei
2021
KAM theorem with normal frequencies of finite limit-points for some shallow water equations. Zbl 07372277
Yuan, Xiaoping
2021
On the Yau-Tian-Donaldson conjecture for singular Fano varieties. Zbl 07382001
Li, Chi; Tian, Gang; Wang, Feng
2021
Lipschitz bounds and nonuniform ellipticity. Zbl 1445.35140
Beck, Lisa; Mingione, Giuseppe
2020
Constancy of the dimension for Rcd$$(K,N)$$ spaces via regularity of Lagrangian flows. Zbl 1442.35054
Brué, Elia; Semola, Daniele
2020
Random band matrices in the delocalized phase I: Quantum unique ergodicity and universality. Zbl 1446.60005
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
2020
On the relation between enhanced dissipation timescales and mixing rates. Zbl 1444.76098
Zelati, Michele Coti; Delgadino, Matias G.; Elgindi, Tarek M.
2020
Symmetries and critical phenomena in fluids. Zbl 1442.76031
Elgindi, Tarek M.; Jeong, In-Jee
2020
Global solution for massive Maxwell-Klein-Gordon equations. Zbl 1433.35386
Klainerman, Sergiu; Wang, Qian; Yang, Shiwu
2020
Direct epiperimetric inequalities for the thin obstacle problem and applications. Zbl 1433.49010
Colombo, Maria; Spolaor, Luca; Velichkov, Bozhidar
2020
Deterministic guarantees for Burer-Monteiro factorizations of smooth semidefinite programs. Zbl 1445.90074
Boumal, Nicolas; Voroninski, Vladislav; Bandeira, Afonso S.
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
Determination of space-time structures from gravitational perturbations. Zbl 1450.83002
Uhlmann, Gunther; Wang, Yiran
2020
Space-time localisation for the dynamic $$\Phi_3^4$$ model. Zbl 1455.35309
Moinat, Augustin; Weber, Hendrik
2020
Pseudospectral bound and transition threshold for the 3D Kolmogorov flow. Zbl 1442.35346
Li, Te; Wei, Dongyi; Zhang, Zhifei
2020
A general mechanism of diffusion in Hamiltonian systems: qualitative results. Zbl 1437.37072
Gidea, Marian; La Llave, Rafael De; M-Seara, Tere
2020
Theoretical justification and error analysis for slender body theory. Zbl 1447.35253
Mori, Yoichiro; Ohm, Laurel; Spirn, Daniel
2020
Fast binary embeddings and quantized compressed sensing with structured matrices. Zbl 1452.94016
Huynh, Thang; Saab, Rayan
2020
Identification of the polaron measure. I: Fixed coupling regime and the central limit theorem for large times. Zbl 1442.60082
Mukherjee, Chiranjib; Varadhan, S. R. S.
2020
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
Global bifurcation of rotating vortex patches. Zbl 1452.76038
Hassainia, Zineb; Masmoudi, Nader; Wheeler, Miles H.
2020
Equivalence of the ellipticity conditions for geometric variational problems. Zbl 1452.49006
De Rosa, Antonio; Kolasiński, Sławomir
2020
On the global behavior of weak null quasilinear wave equations. Zbl 1445.35252
Deng, Yu; Pusateri, Fabio
2020
Quantization in geometric pluripotential theory. Zbl 1445.53062
Darvas, Tamás; Lu, Chinh H.; Rubinstein, Yanir A.
2020
The branching-ruin number and the critical parameter of once-reinforced random walk on trees. Zbl 1443.60044
Collevecchio, Andrea; Kious, Daniel; Sidoravicius, Vladas
2020
Optimal Besov differentiability for entropy solutions of the eikonal equation. Zbl 1437.35135
Ghiraldin, Francesco; Lamy, Xavier
2020
Dimension reduction for thin films with transversally varying prestrain: oscillatory and nonoscillatory cases. Zbl 1452.49026
Lewicka, Marta; Lučić, Danka
2020
The regularity of parametrized integer stationary varifolds in two dimensions. Zbl 07274494
Pigati, Alessandro; Rivière, Tristan
2020
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
Corrigendum to: “Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions”. Zbl 1452.35099
Koumatos, Konstantino; Spirito, Stefano
2020
On the solution of the Stokes equation on regions with corners. Zbl 1467.35262
Rachh, Manas; Serkh, Kirill
2020
Sharp estimate of global Coulomb gauge. Zbl 1458.35399
Wang, Yu
2020
Normalized harmonic map heat flow. Zbl 1445.58008
Struwe, Michael
2020
Spectral exterior calculus. Zbl 1447.58009
Berry, Tyrus; Giannakis, Dimitrios
2020
A De Giorgi-type conjecture for minimal solutions to a nonlinear Stokes equation. Zbl 1441.35008
Ignat, Radu; Monteil, Antonin
2020
From 1 to 6 : a finer analysis of perturbed branching Brownian motion. Zbl 1445.60060
Bovier, Anton; Hartung, Lisa
2020
On heavy-tail phenomena in some large-deviations problems. Zbl 07248289
Augeri, Fanny
2020
Maximum of the characteristic polynomial for a random permutation matrix. Zbl 07248290
Cook, Nicholas; Zeitouni, Ofer
2020
Onsager’s conjecture for admissible weak solutions. Zbl 07038033
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
A robust inverse scattering transform for the focusing nonlinear Schrödinger equation. Zbl 1435.35343
Bilman, Deniz; Miller, Peter D.
2019
Nonuniqueness of weak solutions to the SQG equation. Zbl 1427.35200
Buckmaster, Tristan; Shkoller, Steve; Vicol, Vlad
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
Topology and nesting of the zero set components of monochromatic random waves. Zbl 07038035
Canzani, Yaiza; Sarnak, Peter
2019
Maximum of the Riemann zeta function on a short interval of the critical line. Zbl 1443.11161
Arguin, Louis-Pierre; Belius, David; Bourgade, Paul; Radziwiłł, Maksym; Soundararajan, Kannan
2019
Thermodynamic limit for directed polymers and stationary solutions of the Burgers equation. Zbl 1455.60134
Bakhtin, Yuri; Li, Liying
2019
On ancient solutions of the heat equation. Zbl 1461.35098
Lin, Fanghua; Zhang, Q. S.
2019
Finite Morse index implies finite ends. Zbl 1418.35190
Wang, Kelei; Wei, Juncheng
2019
Topologies of nodal sets of random band-limited functions. Zbl 1414.58019
Sarnak, Peter; Wigman, Igor
2019
Global regularity of 2D density patches for viscous inhomogeneous incompressible flow with general density: low regularity case. Zbl 1409.35166
Liao, Xian; Zhang, Ping
2019
The landscape of the spiked tensor model. Zbl 1434.62078
Ben Arous, Gérard; Mei, Song; Montanari, Andrea; Nica, Mihai
2019
Brownian particles with rank-dependent drifts: out-of-equilibrium behavior. Zbl 1415.60113
Cabezas, M.; Dembo, A.; Sarantsev, A.; Sidoravicius, V.
2019
The equilibrium measure for a nonlocal dislocation energy. Zbl 1412.49004
Mora, Maria Giovanna; Rondi, Luca; Scardia, Lucia
2019
An epiperimetric inequality for the regularity of some free boundary problems: the 2-dimensional case. Zbl 1429.35214
Spolaor, Luca; Velichkov, Bozhidar
2019
Modified massive Arratia flow and Wasserstein diffusion. Zbl 1415.60116
Konarovskyi, Vitalii; von Renesse, Max-K.
2019
A solution theory for quasilinear singular SPDEs. Zbl 1458.60077
Gerencsér, Máté; Hairer, Martin
2019
On the optimal design of wall-to-wall heat transport. Zbl 1434.76036
Doering, Charles R.; Tobasco, Ian
2019
Ergodicity and Lyapunov functions for Langevin dynamics with singular potentials. Zbl 1436.60056
Herzog, David P.; Mattingly, Jonathan C.
2019
A study of the direct spectral transform for the defocusing Davey-Stewartson II equation the semiclassical limit. Zbl 1420.35339
Assainova, O.; Klein, C.; McLaughlin, K. D. T.-R.; Miller, P. D.
2019
A splitting theorem for scalar curvature. Zbl 1422.53027
Chodosh, Otis; Eichmair, Michael; Moraru, Vlad
2019
Oscillation properties of scalar conservation laws. Zbl 1428.35215
Silvestre, Luis
2019
Well-posedness and global behavior of the Peskin problem of an immersed elastic filament in Stokes flow. Zbl 1423.35297
Mori, Yoichiro; Rodenberg, Analise; Spirn, Daniel
2019
Solvability of the Stokes immersed boundary problem in two dimensions. Zbl 1406.35289
Lin, Fang-Hua; Tong, Jiajun
2019
On growth of Sobolev norms for energy critical NLS on irrational tori: small energy case. Zbl 1409.35190
Deng, Yu
2019
Quantitative isoperimetry à la Levy-Gromov. Zbl 1433.53066
Cavalletti, F.; Maggi, F.; Mondino, A.
2019
Regularity for shape optimizers: the degenerate case. Zbl 1430.49044
Kriventsov, Dennis; Lin, Fanghua
2019
Vanishing viscosity limit for incompressible viscoelasticity in two dimensions. Zbl 1439.35391
Cai, Yuan; Lei, Zhen; Lin, Fanghua; Masmoudi, Nader
2019
On concavity of the monopolist’s problem facing consumers with nonlinear price preferences. Zbl 1422.91269
McCann, Robert J.; Zhang, Kelvin Shuangjian
2019
Boundary regularity and nontransversal intersection for the fully nonlinear obstacle problem. Zbl 1429.35087
Indrei, Emanuel
2019
Arnold-Thom gradient conjecture for the arrival time. Zbl 1441.35132
Colding, Tobias Holck; Minicozzi, William P. II
2019
Ground state of the conformal flow on $$\mathbb{S}^3$$. Zbl 1417.58021
Bizoń, Piotr; Hunik-Kostyra, Dominika; Pelinovsky, Dmitry E.
2019
Geometrostatic manifolds of small ADM mass. Zbl 1417.53072
Sormani, Christina; Allen, Iva Stavrov
2019
Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions. Zbl 1437.35489
Koumatos, Konstantinos; Spirito, Stefano
2019
Scaling limit for the ant in high-dimensional labyrinths. Zbl 1415.60111
Arous, Gérard Ben; Cabezas, Manuel; Fribergh, Alexander
2019
Rigidity and edge universality of discrete $$\beta$$-ensembles. Zbl 1455.60014
Guionnet, Alice; Huang, Jiaoyang
2019
Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere. II. Zbl 1457.53047
Kapouleas, Nikolaos; McGrath, Peter
2019
Existence and uniqueness of solutions for a quasilinear KdV equation with degenerate dispersion. Zbl 1427.35230
Germain, Pierre; Harrop-Griffiths, Benjamin; Marzuola, Jeremy L.
2019
Deconvolution of point sources: a sampling theorem and robustness guarantees. Zbl 1459.94029
Bernstein, Brett; Fernandez-Granda, Carlos
2019
Gaussian complex zeros on the hole event: the emergence of a forbidden region. Zbl 1417.30002
Ghosh, Subhroshekhar; Nishry, Alon
2019
Convergence of adaptive compression methods for Hartree-Fock-like equations. Zbl 1417.35152
Lin, Lin; Lindsey, Michael
2019
Hydrodynamic limit and viscosity solutions for a two-dimensional growth process in the anisotropic KPZ class. Zbl 1417.82024
Legras, Martin; Toninelli, Fabio Lucio
2019
Sample-based optimal transport and barycenter problems. Zbl 1465.49030
Kuang, Max; Tabak, Esteban G.
2019
Min-Oo conjecture for fully nonlinear conformally invariant equations. Zbl 1430.53053
Barbosa, Ezequiel; Cavalcante, Marcos Petrúcio; Espinar, José María
2019
Branching Brownian motion with decay of mass and the nonlocal Fisher-KPP equation. Zbl 07140586
Addario-Berry, Louigi; Berestycki, Julien; Penington, Sarah
2019
Spiraling asymptotic profiles of competition-diffusion systems. Zbl 1433.35141
Terracini, Susanna; Verzini, Gianmaria; Zilio, Alessandro
2019
Geodesics in the space of Kähler cone metrics. II: Uniqueness of constant scalar curvature Kähler cone metrics. Zbl 1434.53075
Zheng, Kai
2019
A Liouville theorem for the complex Monge-Ampère equation on product manifolds. Zbl 1429.32028
Hein, Hans-Joachim
2019
Constant scalar curvature equation and regularity of its weak solution. Zbl 1432.32030
He, Weiyong; Zeng, Yu
2019
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#### Cited by 43,359 Authors

 187 Wei, Juncheng 133 Guo, Boling 101 Yang, Tong 101 Yin, Zhaoyang 99 Noor, Muhammad Aslam 98 Valdinoci, Enrico 97 Kenig, Carlos Eduardo 91 Xin, Zhouping 89 Caffarelli, Luis Ángel 82 Fan, Jishan 82 Vazquez, Juan Luis 81 Byun, Sun-Sig 81 Feireisl, Eduard 80 Lin, Chang-Shou 79 Nazarov, Sergeĭ Aleksandrovich 76 Chen, Gui-Qiang G. 76 Majda, Andrew J. 76 Yang, Dachun 73 Del Pino, Manuel A. 71 Masmoudi, Nader 71 Zhou, Yong 70 Figalli, Alessio 69 Zhang, Zhifei 69 Zumbrun, Kevin R. 68 Rădulescu, Vicenţiu D. 67 Zou, Wenming 66 Uhlmann, Gunther Alberto 65 Alves, Claudianor Oliveira 65 Li, YanYan 65 Wang, Lihe 63 Li, Wan-Tong 62 Lin, Fang Hua 61 Friedman, Avner 61 Simon, Barry 60 Musso, Monica 60 Zhao, Huijiang 59 Véron, Laurent 58 Hamel, François 58 Merle, Frank 58 Pistoia, Angela 57 Carrillo de la Plata, José Antonio 57 Gesztesy, Fritz 56 Ambrosio, Luigi 56 Tang, Xianhua 56 Titi, Edriss Saleh 56 Wang, Shu 55 Ponce, Gustavo 54 LeFloch, Philippe Gerard 54 Lions, Pierre-Louis 54 Miyagaki, Olimpio Hiroshi 54 Peng, Shuangjie 54 Schechter, Martin 53 de Lima, Henrique F. 53 Do Ó, João M. Bezerra 53 Liu, Tai-Ping 53 Lu, Guozhen 53 Sire, Yannick 52 Berestycki, Henri 52 Dong, Hongjie 52 Guo, Zongming 52 Hayashi, Nakao 52 Liu, Yue 52 Zhu, Changjiang 51 Cao, Daomin 51 Liu, Jianguo 50 Constantin, Adrian 50 Erdős, László 50 Otto, Felix 49 Long, Yiming 49 Nakamura, Gen 49 Yan, Shusen 48 Helffer, Bernard 48 Wang, Zhi-Qiang 47 Chae, Dongho 47 Conti, Sergio 47 Hou, Thomas Yizhao 47 Jost, Jürgen 47 Kukavica, Igor 47 Rossi, Julio Daniel 47 Tan, Zhong 47 Tataru, Daniel 47 Trudinger, Neil Sidney 46 Brézis, Haïm 46 Quaas, Alexander 45 Constantin, Peter 45 de la Llave, Rafael 45 Dolbeault, Jean 45 Huang, Feimin 45 Maz’ya, Vladimir Gilelevich 45 Niu, Pengcheng 45 Wang, Changyou 44 Dancer, Edward Norman 44 Garofalo, Nicola 44 Jin, Shi 44 Malchiodi, Andrea 44 Naumkin, Pavel Ivanovich 44 Novaga, Matteo 44 Shu, Chi-Wang 44 Tian, Lixin 44 Velázquez, Juan J. L. ...and 43,259 more Authors
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#### Cited in 1,107 Journals

 3,105 Journal of Differential Equations 2,520 Journal of Mathematical Analysis and Applications 1,681 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,644 Communications in Mathematical Physics 1,626 Journal of Mathematical Physics 1,613 Archive for Rational Mechanics and Analysis 1,425 Journal of Functional Analysis 1,276 Communications in Partial Differential Equations 1,143 Transactions of the American Mathematical Society 1,109 Calculus of Variations and Partial Differential Equations 1,046 Journal of Computational Physics 855 Proceedings of the American Mathematical Society 789 Advances in Mathematics 678 Mathematische Annalen 673 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 653 Discrete and Continuous Dynamical Systems 623 Journal of Statistical Physics 610 Mathematische Zeitschrift 545 Journal de Mathématiques Pures et Appliquées. Neuvième Série 539 Physica D 524 Nonlinear Analysis. Theory, Methods & Applications 520 Applied Mathematics and Computation 519 SIAM Journal on Mathematical Analysis 488 Applicable Analysis 477 Annali di Matematica Pura ed Applicata. Serie Quarta 476 The Journal of Geometric Analysis 467 Communications on Pure and Applied Mathematics 453 Computer Methods in Applied Mechanics and Engineering 444 Duke Mathematical Journal 442 Journal of Computational and Applied Mathematics 438 ZAMP. Zeitschrift für angewandte Mathematik und Physik 408 Inventiones Mathematicae 397 Mathematical Methods in the Applied Sciences 383 Computers & Mathematics with Applications 360 Journal of Mathematical Sciences (New York) 356 Communications on Pure and Applied Analysis 353 Mathematics of Computation 349 Nonlinear Analysis. Real World Applications 348 Comptes Rendus. Mathématique. Académie des Sciences, Paris 341 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 340 Probability Theory and Related Fields 337 Journal of Scientific Computing 335 The Annals of Probability 333 Applied Mathematics Letters 333 Applied and Computational Harmonic Analysis 320 Stochastic Processes and their Applications 313 Manuscripta Mathematica 305 Journal of Fluid Mechanics 293 Communications in Contemporary Mathematics 292 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 290 Annales de l’Institut Fourier 281 Journal d’Analyse Mathématique 279 Numerische Mathematik 264 Science China. Mathematics 257 Journal of Geometry and Physics 245 Nonlinearity 236 Acta Mathematica Sinica. English Series 235 Wave Motion 234 Journal of Nonlinear Science 233 Acta Applicandae Mathematicae 232 Journal of Mathematical Fluid Mechanics 229 Journal of Hyperbolic Differential Equations 225 Mathematical Notes 225 Journal of Dynamics and Differential Equations 224 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 224 NoDEA. Nonlinear Differential Equations and Applications 223 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 222 Annales Henri Poincaré 217 Applied Numerical Mathematics 210 Abstract and Applied Analysis 196 Bulletin of the American Mathematical Society 192 Journal of Soviet Mathematics 192 Siberian Mathematical Journal 191 The Journal of Fourier Analysis and Applications 189 Computers and Fluids 189 Bulletin of the American Mathematical Society. New Series 185 Chinese Annals of Mathematics. Series B 183 Boundary Value Problems 182 Linear Algebra and its Applications 180 SIAM Journal on Scientific Computing 179 Letters in Mathematical Physics 179 Theoretical and Mathematical Physics 178 Potential Analysis 175 Israel Journal of Mathematics 173 Journal of the European Mathematical Society (JEMS) 172 Advanced Nonlinear Studies 171 Discrete and Continuous Dynamical Systems. Series B 166 Complex Variables and Elliptic Equations 165 Acta Mathematica 163 Mathematische Nachrichten 163 Studies in Applied Mathematics 154 Physics of Fluids 153 Annals of Global Analysis and Geometry 152 Journal of Approximation Theory 152 Journal of Evolution Equations 149 Journal of Elasticity 148 Quarterly of Applied Mathematics 147 Journal of the American Mathematical Society 145 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 144 Publications of the Research Institute for Mathematical Sciences, Kyoto University ...and 1,007 more Journals
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#### Cited in 63 Fields

 35,331 Partial differential equations (35-XX) 10,176 Fluid mechanics (76-XX) 6,834 Numerical analysis (65-XX) 5,526 Differential geometry (53-XX) 5,062 Probability theory and stochastic processes (60-XX) 4,708 Dynamical systems and ergodic theory (37-XX) 4,602 Global analysis, analysis on manifolds (58-XX) 4,109 Operator theory (47-XX) 3,662 Calculus of variations and optimal control; optimization (49-XX) 3,625 Statistical mechanics, structure of matter (82-XX) 3,317 Ordinary differential equations (34-XX) 3,129 Mechanics of deformable solids (74-XX) 2,785 Quantum theory (81-XX) 2,259 Functional analysis (46-XX) 2,174 Harmonic analysis on Euclidean spaces (42-XX) 1,672 Several complex variables and analytic spaces (32-XX) 1,645 Biology and other natural sciences (92-XX) 1,302 Information and communication theory, circuits (94-XX) 1,241 Mechanics of particles and systems (70-XX) 1,138 Optics, electromagnetic theory (78-XX) 1,006 Operations research, mathematical programming (90-XX) 1,003 Algebraic geometry (14-XX) 1,001 Computer science (68-XX) 953 Linear and multilinear algebra; matrix theory (15-XX) 952 Functions of a complex variable (30-XX) 939 Integral equations (45-XX) 918 Systems theory; control (93-XX) 891 Statistics (62-XX) 876 Relativity and gravitational theory (83-XX) 795 Potential theory (31-XX) 789 Real functions (26-XX) 783 Manifolds and cell complexes (57-XX) 706 Number theory (11-XX) 590 Geophysics (86-XX) 580 Approximations and expansions (41-XX) 578 Topological groups, Lie groups (22-XX) 562 Group theory and generalizations (20-XX) 542 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 527 Classical thermodynamics, heat transfer (80-XX) 515 Measure and integration (28-XX) 508 Special functions (33-XX) 402 Combinatorics (05-XX) 393 Convex and discrete geometry (52-XX) 373 Abstract harmonic analysis (43-XX) 315 Integral transforms, operational calculus (44-XX) 297 Difference and functional equations (39-XX) 294 Nonassociative rings and algebras (17-XX) 246 Algebraic topology (55-XX) 217 Associative rings and algebras (16-XX) 207 Mathematical logic and foundations (03-XX) 198 Astronomy and astrophysics (85-XX) 147 History and biography (01-XX) 145 General and overarching topics; collections (00-XX) 141 General topology (54-XX) 100 Geometry (51-XX) 92 Field theory and polynomials (12-XX) 92 Commutative algebra (13-XX) 44 $$K$$-theory (19-XX) 40 Category theory; homological algebra (18-XX) 39 Order, lattices, ordered algebraic structures (06-XX) 28 Sequences, series, summability (40-XX) 12 Mathematics education (97-XX) 8 General algebraic systems (08-XX)