Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Elliptic Boundary Value Problems in Domains with Point Singularities

- V. Kozlov, V. Maz'ya, J. Roßmann
- Mathematics
- 15 November 2002

Introduction Part 1: Boundary value problems for ordinary differential equations on the half-axis Elliptic boundary value problems in the half-space Elliptic boundary value problems in smooth domains… Expand

On the Bourgain, Brezis, and Mironescu Theorem Concerning Limiting Embeddings of Fractional Sobolev Spaces

- V. Maz'ya, T. Shaposhnikova
- Mathematics
- 1 June 2003

The article is concerned with the Bourgain, Brezis and Mironescu theorem on the asymptotic behaviour of the norm of the Sobolev-type embedding operator: Ws,p ? Lpn/(n-sp) as s ? 1 and s ? n/p. Thei… Expand

Sobolev Spaces: with Applications to Elliptic Partial Differential Equations

- V. Maz'ya
- Mathematics
- 16 February 2011

Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable… Expand

Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations

- V. Kozlov, V. Maz'ya, J. Roßmann
- Mathematics
- 31 October 2000

Introduction Singularities of solutions to equations of mathematical physics: Prerequisites on operator pencils Angle and conic singularities of harmonic functions The Dirichlet problem for the Lame… Expand

Linear Water Waves: A Mathematical Approach

- N. Kuznetsov, V. Maz'ya, B. Vainberg
- Geology
- 11 July 2002

Preface Part I. Time-Harmonic Waves: 1. Green's functions 2. Submerged obstacles 3. Semisubmerged bodies, I 4. Semisubmerged bodies, II 5. Horizontally-periodic trapped waves Part II. Ship Waves on… Expand

Theory of multipliers in spaces of differentiable functions

- V. Maz'ya, T. Shaposhnikova
- Mathematics
- 1985

CONTENTS Introduction Chapter I. Embedding theorems for Sobolev spaces § 1.1. The summability with respect to a measure of functions from the spaces and , § 1.2. The summability with respect to a… Expand

Lp estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains

- V. Maz'ya, J. Rossmann
- Mathematics, Physics
- 21 December 2004

A mixed boundary value problem for the Stokes system in a polyhedral domain is considered. Here different boundary conditions (in particular, Dirichlet, Neumann, free surface conditions) are prescr… Expand

ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES

- V. Maz'ya, S. Nazarov, B. Plamenevskii
- Mathematics
- 30 April 1985

Complete asymptotic expansions are found for the first eigenvalues and eigenfunctions of classical problems for the Laplace operator in two- and three-dimensional domains with small holes.… Expand

On approximate approximations using Gaussian kernels

- V. Maz'ya, G. Schmidt
- Mathematics
- 1996

This paper discusses quasi-interpolation and interpolation with Gaussians. Estimates are obtained showing a high-order approximation up to some saturation error negligible in numerical applications.… Expand

...

1

2

3

4

5

...