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Composite type equations and inverse problems

Author: A I Kozhanov
Publisher: Utrecht : VSP, 1999.
Series: Inverse and ill-posed problems series.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

This volume deals with the theory of well-posed boundary problems for general equations of composite type of the third order in the domain of arbitary dimensions and geometry.

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Document Type: Book
All Authors / Contributors: A I Kozhanov
ISBN: 906764305X 9789067643054
OCLC Number: 42764883
Description: x, 171 pages ; 26 cm.
Contents: Part 1 Composite type equations as the original mathematical object: equations of the composite type in mathematics and mathematical simulation; canonical types of third order; boundary-value problems for third order equations of composite type; hyperbolic boundary-value problem uniqueness of regular solutions; existence of the regularized solutions of the hyperbolic boundary-value problem; the elliptic boundary-value problem; uniqueness of regular solutions; existence of generalized solutions of the elliptic boundary-value problem; existence of regular solutions of the elliptic boundary-value problem; correlation of the hyperbolic and elliptic boundary-value problems; remark on the third order equations of the variable direction; nonlocal problems for equations of composite type. Part 2 Solvability of inverse problems and other applications: inverse problems for equations with partial derivatives; linear inverse problems for elliptic and parabolic equations; on solvability of nonlinear inverse problems; solvability of nonclassical boundary-value problems for equations of second order and third order; the mixed problem for second order equations not solved for the time derivative; boundary-value problems for the second order equations of the mixed type; the problem with oblique derivative for equations of second and third orders; a problem of viscous elasticity and the third order equation in noncylindrical domains connected with this problem.
Series Title: Inverse and ill-posed problems series.
Responsibility: A.I. Kozhanov.
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