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Linear and Quasi-linear Equations of Parabolic Type

O. LadyženskajaV. A. SolonnikovRussian Academy of Sciences, St. Petersburg, RussiaN. Ural’cevaLoughborough University, U.K
1968en
ABI

Abstract

Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.

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Cited by 360 references