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

Keywords

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  • EP ID EP651228
  • DOI 10.24297/jam.v5i2.7239
  • Views 187
  • Downloads 0

How To Cite

Chiraz KOURAICHI, Abdelmajid SIAI (2014). Uniqueness for Entropy Solutions to fully Nonlinear Equations. JOURNAL OF ADVANCES IN MATHEMATICS, 5(2), 650-656. https://europub.co.uk/articles/-A-651228