Improperly Posed Problems in Partial Differential Equations (Regional Conference Series in Applied Mathematics)

Payne, L. E.

ISBN 10: 0898710197 / ISBN 13: 9780898710199

Edité par Society for Industrial and Applied Mathematics, 1987

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Titre : Improperly Posed Problems in Partial ...

Éditeur : Society for Industrial and Applied Mathematics

Date d'édition : 1987

Reliure : Couverture souple

Etat : Very Good

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Présentation de l'éditeur:

Improperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations.