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1. On the Well-Posedness of an Initial–Boundary Value Problem for a Degenerate Heat Equation.

Author

Zainullov, A. R. and Sabitov, K. B.

Subjects
*HEAT equation, *EXISTENCE theorems, *POWER law (Mathematics), *INTEGRAL representations, *ELECTRIC lines
Abstract

The well-posedness of an initial–boundary value problem for a model parabolic equation with two power-law degeneration lines is studied. Two initial–boundary value problems depending on the degeneracy exponents are stated, and uniqueness and existence theorems are proved. The solutions of these problems are constructed in closed form. [ABSTRACT FROM AUTHOR]

Published
2024
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