Mixed, transmission, or crack problems belong to the analysis of boundary value problems on manifolds with singularities. The Zaremba problem with a jump between Dirichlet and Neumann conditions along an interface on the boundary is a classical example. The central theme of this book is to study mix
Elliptic Mixed, Transmission and Singular Crack Problems (EMS Tracts in Mathematics)
โ Scribed by Gohar Harutyunyan, B. Wolfgang Schulze
- Publisher
- European Mathematical Society
- Year
- 2007
- Tongue
- English
- Leaves
- 778
- Series
- EMS Tracts in Mathematics
- Category
- Library
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The book deals with the existence, uniqueness, regularity, and asymptotic behavior of solutions to the initial value problem (Cauchy problem) and the initial-Dirichlet problem for a class of degenerate diffusions modeled on the porous medium type equation $u_t = \Delta u^m$, $m \geq 0$, $u \geq 0$.
This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by singular elliptic equations. There are carefully analyzed logistic type equations with boundary blow-up solutions and generalized Lane-Emden-Fowler equations or Gierer-Meinhardt systems with