Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis: Proceedings of the International Conference, Samarkand, Uzbekistan

• Publisher: De Gruyter
• Year: 2003
• Tongue: English
• Leaves: 216
• Series: Inverse and Ill-Posed Problems Series; 41
• Edition: Reprint 2014
• Category: Library

✦ Synopsis

These proceedings of the international Conference "Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis", held at the Samarkand State University, Uzbekistan in September 2000 bring together fundamental research articles in the major areas of the numerated fields of analysis and mathematical physics.

The book covers the following topics:

• theory of ill-posed problems
• inverse problems for differential equations
• boundary value problems for equations of mixed type
• integral geometry
• mathematical modelling and numerical methods in natural sciences

✦ Table of Contents

Problems of integral geometry on curves and surfaces in Euclidean space
Existence of solutions of the first boundary-value problem for the third order equations of mixed type in unbounded domain
On the monotone error rule for choosing the regularization parameter in ill-posed problems
Well-posedness of one-dimensional inverse acoustic problem in L2 for small depth or small data
Fourier series in Banach spaces
Ill-posed and inverse problems for hyperbolic equations
Systems of linear integral equations of Volterra type with singular and super-singular kernels
Inverses of a family of bounded linear operators, generalized pythagorean theorems and reproducing kernels
Cauchy problem for the Helmholtz equation
CONTRIBUTED PAPERS
On problem for a third order equation with multiple characteristics
On uniqueness and stability of solution of the Cauchy problem for pseudoparabolic equation
Uniqueness theorem for an unbounded domain
Recovery of a function set by integrals along a curve family in the plane
Uniqueness of extension of solutions of differential equations of the second order