Titlebook: Boundary Value Problems for Linear Evolution Partial Differential Equations; Proceedings of the N H. G. Garnir Conference proceedings 1977

Original

Spectral and Asymptotic Analysis of Acoustic Wave Propagation,These problems may be described categorically as initial-boundary value problems for certain systems of linear hyperbolic partial differential equations with variable coefficients. However, the known existence, uniqueness and regularity theorems for these problems are only a first step toward unders

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漂泊

Christian Enss,Siegfried Hunklingertions of M. Sato [32]. Each class of ultradistributions have similar properties as the distributions or the hyperfunctions. They form a sheaf on which linear differential operators act as sheaf homomorphisms. We have, among others, two structure theorems of ultradistributions, the structure theorem

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门闩

https://doi.org/10.1007/b137878 blow-up type will be discussed..In §1, the Trotter-Kato’s Theorem will be reformulated, and the variable time step approximation will be discussed. In §2, our approximate scheme will be described, and the convergence of approximate solutions to the true solution will be established. In §3 a numeric

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Christian Enss,Siegfried HunklingerThese problems may be described categorically as initial-boundary value problems for certain systems of linear hyperbolic partial differential equations with variable coefficients. However, the known existence, uniqueness and regularity theorems for these problems are only a first step toward unders

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Nato Science Series C:http://image.papertrans.cn/b/image/190038.jpg

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Topics in Parabolic Equations: Some Typical Free Boundary Problems, for parabolic type equations). A classical example is that of the “Stefan problem” for the heat equation arising in the ice melting phenomenon. The interest on this sort of problems has recently increased (particularly, after the discovery that they are closely related to the theory of variational inequalities).

Admonish

https://doi.org/10.1007/b137878The goal of these lectures is to give (Chapter 1) a short survey of some of the methods available for proving existence and uniqueness in linear evolution equations, and in the following chapters, to indicate some trends and problems in this theory.