Initial evolution of supports of solutions to Cauchy problem for general quasilinear parabolic equations of arbitrary order (Q2735917)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Initial evolution of supports of solutions to Cauchy problem for general quasilinear parabolic equations of arbitrary order |
scientific article; zbMATH DE number 1641415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Initial evolution of supports of solutions to Cauchy problem for general quasilinear parabolic equations of arbitrary order |
scientific article; zbMATH DE number 1641415 |
Statements
14 November 2001
0 references
nonlinear filtration
0 references
starting rate of moving
0 references
absorption
0 references
Initial evolution of supports of solutions to Cauchy problem for general quasilinear parabolic equations of arbitrary order (English)
0 references
The paper is devoted to the investigation of a wide class of nonlinear parabolic equations including the equation of nonlinear filtration with absorption. Estimates were established that describe the starting rate of moving of support's boundary of generalized solutions under different considerations on parameters of nonlinearity (coefficients of diffusion ``\(p\), \(q\)'' and coefficient of absorption \(\lambda\)) and on behavior of some integral norm of begining function. In particular, there were established conditions that guaranteeing ``inertia'' of support with very ``strong'' absorption term. Under another consideration on the parameters of the equation it was described the starting speed of a propagation.
0 references
