Uniqueness for Entropy Solutions to fully Nonlinear Equations
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 5, Issue 2
Abstract
Let X be a metric space, the space of measurable funtions, be a domain whith boundary and a(x; ) be an operator of Leray-Lions type. If andare nondecreasing continuous function on R such that (0) = (0) = 0 and (f; g) L1 (X; ;), then, there exists a unique entropy solution u in M(X; B;) to the problem [a(.,Du)] + (u) = and a(.,Du)v+(u) = g on .
Authors and Affiliations
Chiraz KOURAICHI, Abdelmajid SIAI
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