Article

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

N.K. MamadalievNational University of Uzbekistan, Tashkent

International Journal of Dynamical Systems and Differential Equationsjournal2007en

ABI

Abstract

We investigate the well-posedness theory for the Gellerstedt problem, which consists of a singular second-order partial differential equation of mixed parabolic-hyperbolic type. Our proof relies on a new representation formula which reduces the problem to a Volterra integral equation of the second kind.

Topics

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

Identifiers

DOI: 10.1504/ijdsde.2007.016512

Citations and references

Cited by 20 references

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