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- W149719095 abstract "We study the first and second boundary value problems for parabolic equations in a half-space ( mathbb{R}^{n}_+,, {n}geq,,{2} ), with incompatible initial and boundary data on the boundary x n= 0 of a domain. The existence, uniqueness and estimates of the solutions in the Holder and weighted spaces are proved. We show that nonfulfillment of the compatibility conditions leads to appearance of the solutions, which are singular in the vicinity of a boundary of a domain as t → 0." @default.
- W149719095 created "2016-06-24" @default.
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- W149719095 date "2011-01-01" @default.
- W149719095 modified "2023-09-23" @default.
- W149719095 title "On the Classical Solvability of Boundary Value Problems for Parabolic Equations with Incompatible Initial and Boundary Data" @default.
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- W149719095 doi "https://doi.org/10.1007/978-3-0348-0075-4_4" @default.
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