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Linear and quasi-linear equations of parabolic type / O. A. Ladyzenskaja, V. A. Solonnikov, N. N. Uralʹceva ; S. Smith

Auteur principal : Ladyzhenskaya, Olʹga Aleksandrovna, 1922-2004, AuteurCo-auteur : Uraltseva, Nina Nikolaevna, 1935-, Auteur • Solonnikov, Vsevolod Alekseevich, 1933-, AuteurAuteur secondaire : Smith, S., TraducteurType de document : MonographieCollection : Translations of mathematical monographs, 23Langue : anglais.Pays : Etats Unis.Éditeur : Providence : American Mathematical Society, 1968Description : 1 vol. (XI-648 p.) ; 24 cmISBN : 0821815733.Bibliographie : Bibliogr. p. 631-648.Sujet MSC : 35Kxx, Partial differential equations, Parabolic equations and systems
35-02, Partial differential equations, Research exposition (monographs, survey articles)
En-ligne : Zentralblatt | MathSciNet | AMS
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Bibliogr. p. 631-648

In this volume boundary value problems are studied from two points of view; solvability, unique or otherwise, and the effect of various smoothness properties of the given functions on the smoothness of the solutions.

There are seven chapters contained in this volume. Chapter One gives a statement of the new results and an historical sketch. Chapter Two introduces the various function spaces typical of modern Russian-style functional analysis. Chapters Three and Four deal with linear equations. Chapter Six concerns itself with quasilinear equations, and Chapter Seven with systems of equations. These last four chapters can be read independently of one another. (source : AMS)

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