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portada Improperly Posed Problems in Partial Differential Equations
Type
Physical Book
Publisher
Author
Collection
CBMS-NSF Regional Conference Series in Applied Mathematics
Year
1987
Language
English
Pages
81
Format
Paperback
Dimensions
22.8x15.1x0.7 cm
ISBN13
9780898710199

Improperly Posed Problems in Partial Differential Equations

L.e. Payne (Author) · SIAM - Society for Industrial and Applied Mathematics · Paperback

Improperly Posed Problems in Partial Differential Equations - L.E. Payne

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Synopsis "Improperly Posed Problems in Partial Differential Equations"

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.

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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