Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent
Journal Article
·
· Sbornik. Mathematics
- A.G. and N.G.Stoletov Vladimir State University, Vladimir (Russian Federation)
The paper is concerned with the solvability of the initial-boundary value problem for second-order parabolic equations with variable nonlinearity exponents. In the model case, this equation contains the p-Laplacian with a variable exponent p(x,t). The problem is shown to be uniquely solvable, provided the exponent p is bounded away from both 1 and ∞ and is log-Hölder continuous, and its solution satisfies the energy equality. Bibliography: 18 titles.
- OSTI ID:
- 22365576
- Journal Information:
- Sbornik. Mathematics, Vol. 205, Issue 3; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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