Authors:A. Asanov, E. R. Atamanov,
Publisher: Walter de Gruyter
Keywords: problems, inverse, amp, posed, ser, iii, pseudoparabolic, nonclassical, equations
Number of Pages: 152
Published: 1997-06
List price: $175.00
ISBN-10: 9067642355
ISBN-13: 9789067642354

This volume considers problems related to the theory of differential equations with partial derivatives from the ill-posed problem theory, and are generally ill-posed in the Hadamard sense. The basic topic discosed is the conditional well-posedness of such problems. This represents the proof of uniqueness and stability theorems in the appropriate classes of functions. In some cases, existence theorems are also considered. The book opens with a chapter on the Cauchy problem, with data in a time-like manifold for pseudoparabolic equations. Chapter two deals with interior problems for pseudoparab

Authors:S. P. Shishatskii, A. Asanov, E. R. Atamanov,
Publisher: Walter de Gruyter
Keywords: problems, posed, series, inverse, equations, degenerating, uniqueness, nonclassical
Number of Pages: 178
Published: 2001-04
List price: $211.00
ISBN-10: 9067643416
ISBN-13: 9789067643412

The study of Cauchy problems for degenerating equations and systems is a wide and actively developing area. However, the majority deals mainly with Cauchy problems for hyperbolic equations and systems and characteristic Cauchy problems for parabolic equations and systems. This volume presents results that were obtained on uniqueness for the main (ill-posed in the regular case) Cauchy problems for equations of the second order with exponential degeneracy. The Cauchy problem for a degenerating elliptic equation, the noncharacteristic Cauchy problem, and the mixed problem with reversed time for a