Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614988 | Journal of Mathematical Analysis and Applications | 2015 | 13 Pages |
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
Chong-Kyu Han, Jong-Do Park,