Improperly Posed Problems in Partial Differential Equations (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 22)

Payne, L. E.

ISBN 10: 0898710197 ISBN 13: 9780898710199

Published by Society for Industrial and Applied Mathematics, 1987

Language: English

Used Condition: Near Fine Soft cover

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Bibliographic Details

Title

Improperly Posed Problems in Partial Differential Equations (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 22)

Publisher

Society for Industrial and Applied Mathematics

Publication Date

1987

Language

English

ISBN 10

0898710197

ISBN 13

9780898710199

Binding

Trade Paperback

Edition

First Edition.

Condition

Near Fine

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Mathematics

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Synopsis

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.

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