International Conference on Differential Equations
and Dynamical Systems DEDS'2022
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Research Communication | Open Access
Volume 2022 | Communication ID 605


Fractional Kpz system involving non-local gradient terms
Siham Boukarabila
Academic Editors: Youssef EL FOUTAYENI - Chaouki AOUITI
Received
Accepted
Published
May 15, 16:41
July 01, 2022
July 15, 2022

Abstract: Our work deals with the nonlocal version of Hamilton-Jacobi equation with nonlocal gradient term where we aim to show under which conditions on the given data and the exponent p, q we get the existence of a nonnegative weak solution. In some particular cases, we are able to prove that these conditions are optimal.



International Conference on Differential Equations and Dynamic Systems DEDS @ 2022