9783055016639
The Cauchy Problem For Solutions Of Elliptic Equations (Mathematical Topics, Vol 7) - Nikolai N. Tarkhanov
Vch Pub (1995)
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Cauchy problem, Differential equations, Elliptic - Numerical solutions

The author aims to bring together various topics in partial differential equations related to the Cauchy problem. The problem of analytic continuation of functions given on a boundary subset is a good paradigm. Since Hadamard, the Cauchy problem for solutions of elliptic equations is known to be ill-posed. The type of instability in the problem is the same as in the simplest of analytic continuation. As it is conditionally stable, these factors determine the tools for the analysis. The study of the Cauchy problem is carried out in three directions - namely, determining the degree of instability, finding solvability conditions and reconstruction of solutions via their Cauchy data. The theory applies as well to the Cauchy problem for the solution of overdetermined elliptic systems.

Product Details
LoC Classification QA377 .T34 1995
Dewey 515.353
Format Hardcover
Cover Price 145,00 €
No. of Pages 478
Height x Width 250 mm
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Library of Congress