Payne, Lawrence Edward. (1975) Improperly posed problems in partial differential equationsPhiladelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),MLA Citation
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Improperly posed problems in partial differential equations [electronic resource] /
|Main Author:||Payne, Lawrence Edward.|
|Published:||Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1975.|
CBMS-NSF regional conference series in applied mathematics ; 22.
|Topics:||Differential equations, Partial - Improperly posed problems.|
|Physical Description:||1 electronic text (v, 76 p.) : digital file.
|Includes:||Includes bibliographical references (p. 62-76).
|ISBN:||9781611970463 (electronic bk.)
|System Details:||Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
|Abstract:||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.
|Notes:||Lectures presented at a summer regional conference held at the University of New Mexico in May 1974.
|Restrictions:||Restricted to subscribers or individual electronic text purchasers.
Society for Industrial and Applied Mathematics.