Improperly posed problems in partial differential equations: Lectures presented at a summer regional conference held at the University of New Mexico in May 1974
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1. Verfasser: Payne, Lawrence Edward (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1975
Schriftenreihe:CBMS-NSF regional conference series in applied mathematics 22
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Beschreibung:Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
Includes bibliographical references (p. 62-76)
Introduction -- Methods and examples -- Second order operator equations -- Remarks on continuous dependence on boundary data, coefficients, geometry, and values of the operator -- The Cauchy problem for elliptic equations -- Singular perturbations in improperly posed problems -- Nonexistence and growth of solutions of Schrodinger-type equations -- Finite escape time: concavity methods -- Finite escape time: other methods -- Miscellaneous results
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
Beschreibung:1 Online-Ressource (v, 76 Seiten)
ISBN:0898710197
9780898710199
DOI:10.1137/1.9781611970463

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