Article

The Gellerstedt problem for a parabolic-hyperbolic equation of the second kind

N.K. MamadalievNational University of Uzbekistan, Vuzgorodok, Tashkent, 700174, Republic of Uzbekistan

Russian Mathematicsjournal2009en

ABI

Abstract

In this paper we consider the Gellerstedt problem for a parabolic-hyperbolic equation of the second kind. We prove the unique solvability of this problem by means of a new representation for a solution to the modified Cauchy problem in a generalized class R.

Topics

Differential Equations and Boundary Problems Numerical methods in inverse problems Advanced Mathematical Physics Problems

Identifiers

DOI: 10.3103/s1066369x09040045

Citations and references

Cited by 1 2 references

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