Displaying similar documents to “Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type”

Boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations

B. Eshmatov, E. Karimov (2007)

Open Mathematics

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In the present paper we study the unique solvability of two non-local boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations. The uniqueness of the solutions of the considered problems are proven by the “abc” method. Existence theorems for the solutions of these problems are proven by the method of integral equations. The obtained results can be used for studying local and non-local boundary-value problems for mixed-hyperbolic type...

Regularity for entropy solutions of a class of parabolic equations with irregular data

Fengquan Li (2007)

Commentationes Mathematicae Universitatis Carolinae

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Using as a main tool the time-regularizing convolution operator introduced by R. Landes, we obtain regularity results for entropy solutions of a class of parabolic equations with irregular data. The results are obtained in a very general setting and include known previous results.