Article ID Journal Published Year Pages File Type
4614988 Journal of Mathematical Analysis and Applications 2015 13 Pages PDF
Abstract

In this paper we discuss the local solvability of Cauchy problem for quasi-linear partial differential equations of first order. By using the classical method of characteristics we describe the non-uniqueness or the degree of freedom for solutions and also decide the conditions for the existence and the uniqueness of solutions for overdetermined systems of quasi-linear PDEs of first order.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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