This paper deals with a Dirichlet boundary value problem for a linear second order ordinary differential operator, whose coefficients belong to certain L p -spaces. Its solution is to be understood in the sense of Sobolev, so that the Fredholm alternative holds. The main purpose of this paper is, in
Trace Regularity for a Second Order Hyperbolic Equation with Nonsmooth Coefficients
β Scribed by G. Bao; W.W. Symes
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 672 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
In this research, a trace regularity theorem on a time-like surface is proved for the solution of a multidimensional linear acoustic wave equation with nonsmooth coefficients. Our theorem indicates that with microlocal restrictions against tangential oscillations in the coefficients, the boundary value is just as regular as the solution, in particular as regular as the coeflicients allow. 1993 Academic Press. Inc.
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