On some properties of solutions of the Cauchy problem for a quasilinear parabolic equation

Marek Fila

Displaying similar documents to “On some properties of solutions of the Cauchy problem for a quasilinear parabolic equation”

On the Cauchy problem for a class of parabolic equations with variable density

Shoshana Kamin, Robert Kersner, Alberto Tesei (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

The well-posedness of the Cauchy problem for a class of parabolic equations with variable density is investigated. Necessary and sufficient conditions for existence and uniqueness in the class of bounded solutions are proved. If these conditions fail, sufficient conditions are given to ensure well-posedness in the class of bounded solutions which satisfy suitable constraints at infinity.

Solutions of a linear second order equation of parabolic type defined in an unbounded domain

Krzyżański, M.

Similarity:

A remark on uniqueness criteria for initial value problem

Zuzana Došlá, Ondřej Došlý (1989)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

On solutions of a perturbed fast diffusion equation

Ján Filo (1987)

Aplikace matematiky

Similarity:

The paper concerns the (local and global) existence, nonexistence, uniqueness and some properties of nonnegative solutions of a nonlinear density dependent diffusion equation with homogeneous Dirichlet boundary conditions.