TIME-LIKE TRACE REGULARITY OF THE WAVE-EQUATION WITH A NONSMOOTH PRINCIPAL PART

被引：2

作者：

BAO, G ^{[1
]}

SYMES, WW ^{[1
]}

机构：

[1] RICE UNIV,DEPT COMPUTAT & APPL MATH,HOUSTON,TX 77251

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1995年 / 26卷 / 01期

关键词：

TRACE REGULARITY; MICROLOCAL SOBOLEV SPACES; NONSMOOTH SYMBOL CLASSES; PROPAGATION OF SINGULARITIES; PSEUDODIFFERENTIAL CUTOFF;

D O I：

10.1137/S003614109324426X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A trace regularity result is established for the multidimensional wave equation with nonsmooth variable coefficients in the principal part. It is shown that the time like trace of the solution can be as regular as the solution itself, provided that microlocal restrictions against the tangential oscillations of the coefficients.

引用

页码：129 / 146

页数：18

共 50 条

[1] Time-Like Trace Regularity of the Wave Equation with a Nonsmooth Principal Part
SIAM News, 26 (01):
[2] TRACE REGULARITY IN THE BOUNDARY CONTROL OF A WAVE-EQUATION
KIM, JU
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1993, 31 (06) : 1479 - 1501
[3] NUMERICAL-SOLUTION OF A TIME-LIKE CAUCHY-PROBLEM FOR THE WAVE-EQUATION
KLIBANOV, M
RAKESH
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1992, 15 (08) : 559 - 570
[4] REGULARITY FOR THE WAVE-EQUATION WITH A CRITICAL NONLINEARITY
GRILLAKIS, MG
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1992, 45 (06) : 749 - 774
[5] WAVE-EQUATION AND REGULARITY ON LIPSCHITZ DOMAIN
CHAIRA, A
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (01): : 33 - 36
[6] WAVE-EQUATION TRACE INTERPOLATION
RONEN, J
GEOPHYSICS, 1987, 52 (07) : 973 - 984
[7] The time-like minimal surface equation in Minkowski space: low regularity solutions
Ai, Albert
Ifrim, Mihaela
Tataru, Daniel
INVENTIONES MATHEMATICAE, 2024, 235 (03) : 745 - 891
[8] On a Cauchy problem for the wave equation with data on a time-like hyperplane
Blagoveshchensky, A. S.
Podymaka, F. N.
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DAYS ON DIFFRACTION 2016 (DD), 2016, : 69 - 72
[9] The time-like minimal surface equation in Minkowski space: low regularity solutions
Albert Ai
Mihaela Ifrim
Daniel Tataru
Inventiones mathematicae, 2024, 235 : 745 - 891
[10] Wave-equation time migration
Fomel, Sergey
Kaur, Harpreet
GEOPHYSICS, 2021, 86 (01) : S103 - S111

← 1 2 3 4 5 →