Boundary value problems for strongly degenerate parabolic equations
Journal Article
·
· Communications in Partial Differential Equations
- Institute for Mathematics, Novosibirsk (Russian Federation)
- Univ. of Wollongong (Australia)
Solutions of strongly degenerate parabolic partial differential equations are known to develop infinite spatial derivatives in finite time from smooth initial conditions over the real line. However, when Dirichlet or Neumann boundary conditions are prescribed on a finite interval, a smooth classical solution may exist for all t {ge} 0, with derivatives vanishing as t tends to infinity. With some simple extra conditions relating two nonlinear coefficients in the degenerate equation, classical solvability is proved in general. 17 refs.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 535393
- Journal Information:
- Communications in Partial Differential Equations, Vol. 22, Issue 1-2; Other Information: PBD: 1997
- Country of Publication:
- United States
- Language:
- English
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