The Dirichlet Problem for the Semilinear Vibrating String Equation in a Class of Domains with Corner Points
โ Scribed by A.A. Lyashenko; M.W. Smiley
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 801 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We consider the DIRICHLET problem for linear elliptic differential equations with smooth real coefficients in a twoโdimensional domain with an angle point. We find an asymptotic representation of the solution near this point, which is stable under small variations of the angle.
## Abstract We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in a twoโdimensional bounded domain with thin shoots, depending on a small parameter ฮต. Under the assumption that the width of the shoots goes to zero, as ฮต tends to zero, we construct the l