Monotone systems involving variable-order nonlocal operators
Yangari, Miguel (Escuela Politécnica Nacional,Ecuador. Departamento de Matemática)

Data:	2022
Resum:	In this paper, we study the existence and uniqueness of bounded viscosity solutions for parabolic Hamilton-Jacobi monotone systems in which the diffusion term is driven by variable-order nonlocal operators whose kernels depend on the space-time variable. We prove the existence of solutions via Perron's method, and considering Hamiltonians with linear and superlinear nonlinearities related to their gradient growth we state a comparison principle for bounded sub and supersolutions. Moreover, we present steady-state large time behavior with an exponential rate of convergence.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Viscosity solutions ; Hamilton-jacobi ; Variable-order nonlocal operators ; Comparison principles ; Large time behavior
Publicat a:	Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 129-158 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/396418
DOI: 10.5565/PUBLMAT6612205

30 p, 394.0 KB

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