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
Related Articles
- EP ID EP651228
- DOI 10.24297/jam.v5i2.7239
- Views 190
- Downloads 0
The Hermite Hadamard Inequality on Hypercuboid
Given any a := (a1; a2,... ; an) and b := (b1; b2;... ; bn) in Rn. The n-fold convex function dened on [a; b], a; b 2 Rn with a < b is a convex function in each variable separately. In this work we prove an...
Real Characterization on Order Banach Algebra
In this paper we will study the real character on order Banach algebra with identity, and study character onorder Banach algebrawithout identity. We proved some properties on real character it. We define set of all chara...
Solution of nonlinear equations using Mann iteration
In this paper, we recall some basic concepts, properties of the spaces and some types of iteration approaches. Also, we give algorithm - fixed point iteration scheme and examples. Finally, we obtain the solution of nonli...
Hyers-Ulam Stability Of First-Order Abstract Dynamic Equations On Time Scales
In this paper we investigate the Hyers-Ulam Stability of the abstract dynamic equation of the form where (The space of all bounded linear operators from a Banach space into itself) and f is rd-continous...
Results on n-tupled fixed points in complete ordered metric spaces.
The aim of this paper is to study n-tupled coincidence and n-tupled fixed point results, a new notion propounded by M.Imdad et.al.[13] for compatible maps in partially ordered metric spaces. Our results generalize,...