Communications on Pure and Applied Mathematics
0010-3640
1097-0312
Mỹ
Cơ quản chủ quản: Wiley-Liss Inc. , WILEY
Lĩnh vực:
Applied MathematicsMathematics (miscellaneous)
Phân tích ảnh hưởng
Thông tin về tạp chí
Communications on Pure and Applied Mathematics (ISSN 0010-3640) is published monthly, one volume per year, by John Wiley & Sons, Inc. © 2019. The journal primarily publishes papers originating at or solicited by the Courant Institute of Mathematical Sciences. It features recent developments in applied mathematics, mathematical physics, and mathematical analysis. The topics include partial differential equations, computer science, and applied mathematics. CPAM is devoted to mathematical contributions to the sciences; both theoretical and applied papers, of original or expository type, are included.
Các bài báo tiêu biểu
Fast wavelet transforms and numerical algorithms I Abstract A class of algorithms is introduced for the rapid numerical application of a class of linear operators to arbitrary vectors. Previously published schemes of this type utilize detailed analytical information about the operators being applied and are specific to extremely narrow classes of matrices. In contrast, the methods presented here are based on the recently developed theory of wavelets and are applicable to all Calderon‐Zygmund and pseudo‐differential operators. The algorithms of this paper require order O (N ) or O (N log N ) operations to apply an N × N matrix to a vector (depending on the particular operator and the version of the algorithm being used), and our numerical experiments indicate that many previously intractable problems become manageable with the techniques presented here.
Tập 44 Số 2 - Trang 141-183 - 1991
Boundary concentration phenomena for a singularly perturbed elliptic problem Abstract We exhibit new concentration phenomena for the equation − ε2 Δu + u = up in a smooth bounded domain Ω ⊆ ℝ2 and with Neumann boundary conditions. The exponent p is greater than or equal to 2 and the parameter ε is converging to 0. For a suitable sequence εn un concentrating at the whole boundary of Ω or at some component. © 2002 Wiley Periodicals, Inc.
Tập 55 Số 12 - Trang 1507-1568 - 2002
On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
Tập 48 Số 7 - Trang 731-768 - 1995
On the shape of least‐energy solutions to a semilinear Neumann problem
Tập 44 Số 7 - Trang 819-851 - 1991
The partial differential equation u<sub>t</sub> + uu<sub>x</sub> = μ<sub>xx</sub>
Tập 3 Số 3 - Trang 201-230 - 1950
Weak solutions of nonlinear hyperbolic equations and their numerical computation
Tập 7 Số 1 - Trang 159-193 - 1954
On the exponential solution of differential equations for a linear operator
Tập 7 Số 4 - Trang 649-673 - 1954
Polar factorization and monotone rearrangement of vector‐valued functions Abstract Given a probability space (X , μ) and a bounded domain Ω in ℝd X and Ω) that for every vector‐valued function u ∈ Lp (X , μ; ℝd ) there is a unique “polar factorization” u = ∇Ψs , where Ψ is a convex function defined on Ω and s is a measure‐preserving mapping from (X , μ) into (Ω, |·|), provided that u is nondegenerate, in the sense that μ(u −1 (E )) = 0 for each Lebesgue negligible subset E of ℝd . Through this result, the concepts of polar factorization of real matrices, Helmholtz decomposition of vector fields, and nondecreasing rearrangements of real‐valued functions are unified. The Monge‐Ampère equation is involved in the polar factorization and the proof relies on the study of an appropriate “Monge‐Kantorovich” problem.
Tập 44 Số 4 - Trang 375-417 - 1991
Periodic vibrations of systems governed by nonlinear partial differential equations
Tập 19 Số 4 - Trang 371-420 - 1966