Abstract Differential Equations and Nonlinear Mixed Problems (Publications of the Scuola Normale Superiore / Crm Series)
By: Tosio Kato (author)Paperback
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The present article is based on the Fermi Lectures I gave in May, 1985, at Scuola Normale Superiore, Pisa, in which I discussed various methods for solving the Cauchy problem for abstract nonlinear differential equations of evolution type. Here I present a detailed exposition of one of these methods, which deals with 'elliptic-hyperbolic' equations in the abstract form and which has applications, among other things, to mixed initial-boundary value problems for certain nonlinear partial differential equations, such as elastodynamic and Schrodinger equations.
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- ID: 9788876422485
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