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Inhaltsangabe: This book is a rigorous introduction to the abstract theory of partial differential equations. The main prerequisite is familiarity with basic functional analysis: more advanced topics such as Fredholm operators, the Schauder fixed point theorem and Bochner integrals are introduced when needed, and the book begins by introducing the necessary material from the theory of distributions and Sobolev spaces. Using such techniques, the author presents different methods available for solving elliptic, parabolic and hyperbolic equations. He also considers the difference process for the practical solution of a partial differential equation, emphasising that it is possible to solve them numerically by simple methods. Many examples and exercises are provided throughout, and care is taken to explain difficult points. Advanced undergraduates and graduate students will appreciate this self-contained and practical introduction.
Book Description: A rigorous introduction to the abstract theory of partial differential equations progresses from the theory of distribution and Sobolev spaces to Fredholm operations, the Schauder fixed point theorem and Bochner integrals.
Titel: Partial Differential Equations
Verlag: Cambridge University Press
Zustand: very good
Buchbeschreibung Cambridge University Press, 1987. Hardcover. Buchzustand: Very Good. Great condition with minimal wear, aging, or shelf wear. Buchnummer des Verkäufers P020521259142
Buchbeschreibung Cambridge University Press, 1987. Hardcover. Buchzustand: New. Never used!. Buchnummer des Verkäufers P110521259142