| 1 | Orthonormal bases of compactly supported wavelets | Communications on Pure and Applied Mathematics | 1988 | 4,009 |
| 2 | Stable signal recovery from incomplete and inaccurate measurements | Communications on Pure and Applied Mathematics | 2006 | 3,564 |
| 3 | An iterative thresholding algorithm for linear inverse problems with a sparsity constraint | Communications on Pure and Applied Mathematics | 2004 | 2,748 |
| 4 | Optimal approximations by piecewise smooth functions and associated variational problems | Communications on Pure and Applied Mathematics | 1989 | 2,679 |
| 5 | Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I | Communications on Pure and Applied Mathematics | 1959 | 2,258 |
| 6 | Positive solutions of nonlinear elliptic equations involving critical sobolev exponents | Communications on Pure and Applied Mathematics | 1983 | 2,244 |
| 7 | Integrals of nonlinear equations of evolution and solitary waves | Communications on Pure and Applied Mathematics | 1968 | 2,146 |
| 8 | Hyperbolic systems of conservation laws II | Communications on Pure and Applied Mathematics | 1957 | 2,067 |
| 9 | On the kinetic theory of rarefied gases | Communications on Pure and Applied Mathematics | 1949 | 1,939 |
| 10 | On the exponential solution of differential equations for a linear operator | Communications on Pure and Applied Mathematics | 1954 | 1,785 |
| 11 | On the eigenfunctions of many-particle systems in quantum mechanics | Communications on Pure and Applied Mathematics | 1957 | 1,656 |
| 12 | Systems of conservation laws | Communications on Pure and Applied Mathematics | 1960 | 1,603 |
| 13 | Taylor instability in shock acceleration of compressible fluids | Communications on Pure and Applied Mathematics | 1960 | 1,582 |
| 14 | The partial differential equation ut + uux = μxx | Communications on Pure and Applied Mathematics | 1950 | 1,533 |
| 15 | Commutator estimates and the euler and navier-stokes equations | Communications on Pure and Applied Mathematics | 1988 | 1,398 |
| 16 | On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I | Communications on Pure and Applied Mathematics | 1978 | 1,369 |
| 17 | Biorthogonal bases of compactly supported wavelets | Communications on Pure and Applied Mathematics | 1992 | 1,357 |
| 18 | On a Hilbert space of analytic functions and an associated integral transform part I | Communications on Pure and Applied Mathematics | 1961 | 1,320 |
| 19 | For most large underdetermined systems of linear equations the minimal 1-norm solution is also the sparsest solution | Communications on Pure and Applied Mathematics | 2006 | 1,320 |
| 20 | Weak solutions of nonlinear hyperbolic equations and their numerical computation | Communications on Pure and Applied Mathematics | 1954 | 1,214 |
| 21 | On functions of bounded mean oscillation | Communications on Pure and Applied Mathematics | 1961 | 1,138 |
| 22 | Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II | Communications on Pure and Applied Mathematics | 1964 | 1,102 |
| 23 | Solutions in the large for nonlinear hyperbolic systems of equations | Communications on Pure and Applied Mathematics | 1965 | 1,101 |
| 24 | Fast wavelet transforms and numerical algorithms I | Communications on Pure and Applied Mathematics | 1991 | 1,076 |
| 25 | Partial regularity of suitable weak solutions of the navier-stokes equations | Communications on Pure and Applied Mathematics | 1982 | 1,032 |
| 26 | Approximation of functional depending on jumps by elliptic functional via t-convergence | Communications on Pure and Applied Mathematics | 1990 | 987 |
| 27 | Global and local behavior of positive solutions of nonlinear elliptic equations | Communications on Pure and Applied Mathematics | 1981 | 977 |
| 28 | Well-posedness and scattering results for the generalized korteweg-de vries equation via the contraction principle | Communications on Pure and Applied Mathematics | 1993 | 950 |
| 29 | Polar factorization and monotone rearrangement of vector-valued functions | Communications on Pure and Applied Mathematics | 1991 | 949 |
| 30 | Variational inequalities | Communications on Pure and Applied Mathematics | 1967 | 945 |
| 31 | Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth | Communications on Pure and Applied Mathematics | 1989 | 931 |
| 32 | Some mathematical questions related to the mhd equations | Communications on Pure and Applied Mathematics | 1983 | 887 |
| 33 | Harmonic functions on complete riemannian manifolds | Communications on Pure and Applied Mathematics | 1975 | 867 |
| 34 | Regularity of the obstacle problem for a fractional power of the laplace operator | Communications on Pure and Applied Mathematics | 2007 | 824 |
| 35 | New tight frames of curvelets and optimal representations of objects with piecewiseC2singularities | Communications on Pure and Applied Mathematics | 2004 | 815 |
| 36 | Stability of peakons | Communications on Pure and Applied Mathematics | 2000 | 778 |
| 37 | Iteratively reweighted least squares minimization for sparse recovery | Communications on Pure and Applied Mathematics | 2010 | 739 |
| 38 | Reflection of electromagnetic waves from slightly rough surfaces | Communications on Pure and Applied Mathematics | 1951 | 738 |
| 39 | Estimates for the complex and analysis on the heisenberg group | Communications on Pure and Applied Mathematics | 1974 | 698 |
| 40 | Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids | Communications on Pure and Applied Mathematics | 1981 | 698 |
| 41 | Radiation boundary conditions for wave-like equations | Communications on Pure and Applied Mathematics | 1980 | 694 |
| 42 | Differential equations on riemannian manifolds and their geometric applications | Communications on Pure and Applied Mathematics | 1975 | 684 |
| 43 | Classification of solutions for an integral equation | Communications on Pure and Applied Mathematics | 2006 | 655 |
| 44 | The relaxation schemes for systems of conservation laws in arbitrary space dimensions | Communications on Pure and Applied Mathematics | 1995 | 651 |
| 45 | On the solution of nonlinear hyperbolic differential equations by finite differences | Communications on Pure and Applied Mathematics | 1952 | 650 |
| 46 | Inverse scattering on the line | Communications on Pure and Applied Mathematics | 1979 | 642 |
| 47 | On the squirming motion of nearly spherical deformable bodies through liquids at very small reynolds numbers | Communications on Pure and Applied Mathematics | 1952 | 641 |
| 48 | On Harnack's theorem for elliptic differential equations | Communications on Pure and Applied Mathematics | 1961 | 638 |
| 49 | Asymptotic speeds of spread and traveling waves for monotone semiflows with applications | Communications on Pure and Applied Mathematics | 2007 | 635 |
| 50 | Korteweg-devries equation and generalizations. VI. methods for exact solution | Communications on Pure and Applied Mathematics | 1974 | 617 |