The Cauchy Problem for One Second Order Partial Differential Equation with Carleman Shift

We considered the second order partial differential equation with Carleman shift and singular characteristics. The well-posed Cauchy problem in the sense of Hadamard is given. The solution of the problem is constructed in the explicit form on the basis of Riemann method.

Saved in:
Bibliographic Details
Published in:Lobachevskii journal of mathematics 2022-06, Vol.43 (6), p.1366-1372
Main Author: Maksimova, E. A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Cauchy problems
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Partial differential equations
Probability Theory and Stochastic Processes
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We considered the second order partial differential equation with Carleman shift and singular characteristics. The well-posed Cauchy problem in the sense of Hadamard is given. The solution of the problem is constructed in the explicit form on the basis of Riemann method.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080222090189