Existence and Uniqueness of a Regular Solution of the Cauchy- Dirichlet Problem for Doubly Nonlinear Parabolic Equations | Zendy

А. В. Иванов | Zendy

Open Access

Existence and Uniqueness of a Regular Solution of the Cauchy- Dirichlet Problem for Doubly Nonlinear Parabolic Equations

Author(s) -

А. В. Иванов

Publication year - 1995

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/650

Subject(s) - uniqueness , degenerate energy levels , mathematics , mathematical analysis , cauchy problem , parabolic partial differential equation , nonlinear system , dirichlet problem , filtration (mathematics) , initial value problem , cauchy distribution , elliptic partial differential equation , dirichlet distribution , class (philosophy) , partial differential equation , boundary value problem , physics , pure mathematics , quantum mechanics , artificial intelligence , computer science

Existence and uniqueness of some Holder continuous generalized solution of CauchyDirichlet problem for a class of degenerate or singular quasilinear parabolic equations is established. Similar equations arise in the study of turbulent filtration of a gas or a fluid through porous media.

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