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On the uniqueness of blow-up solutions of fully nonlinear elliptic equations
Existence and uniqueness of entropy solutions to strongly degenerate parabolic equations with discontinuous coefficients
1. | Department of General Education, Salesian Polytechnic, 4-6-8 Oyamagaoka, Machida-city, Tokyo, 194-0215 |
In particular, we consider the case that coefficients are the functions of bounded variation with respect to the space variable $x$. Then, we prove the existence of Kružkov type entropy solutions. Moreover, we prove the uniqueness of the solution under additional conditions.
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