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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

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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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