scholarly journals Decay bounds for nonlocal evolution equations in Orlicz spaces

2016 ◽  
Vol 7 (2) ◽  
pp. 261-269 ◽  
Author(s):  
Uriel Kaufmann ◽  
Julio D. Rossi ◽  
Raul Vidal
Keyword(s):  
Evolution Equations ◽  
Orlicz Spaces ◽  
Decay Bounds ◽  
Nonlocal Evolution Equations

scholarly journals Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Severino Horácio da Silva ◽  
Jocirei Dias Ferreira ◽  
Flank David Morais Bezerra
Keyword(s):  
Evolution Equation ◽  
Lower Semicontinuity ◽  
Evolution Equations ◽  
Upper Semicontinuity ◽  
Global Attractors ◽  
Functional Parameter ◽  
Normal Hyperbolicity ◽  
Nonlocal Evolution Equations

We show the normal hyperbolicity property for the equilibria of the evolution equation∂m(r,t)/∂t=-m(r,t)+g(βJ*m(r,t)+βh),  h,β≥0,and using the normal hyperbolicity property we prove the continuity (upper semicontinuity and lower semicontinuity) of the global attractors of the flow generated by this equation, with respect to functional parameterJ.

scholarly journals A Compactness Tool for the Analysis of Nonlocal Evolution Equations

2015 ◽  
Vol 47 (2) ◽  
pp. 1330-1354 ◽  
Author(s):  
Liviu I. Ignat ◽  
Tatiana I. Ignat ◽  
Denisa Stancu-Dumitru
Keyword(s):  
Evolution Equations ◽  
Nonlocal Evolution Equations

Motion by curvature by scaling nonlocal evolution equations

1993 ◽  
Vol 73 (3-4) ◽  
pp. 543-570 ◽  
Author(s):  
A. De Masi ◽  
E. Orlandi ◽  
E. Presutti ◽  
L. Triolo
Keyword(s):  
Evolution Equations ◽  
Motion By Curvature ◽  
Nonlocal Evolution Equations

scholarly journals A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

2018 ◽  
Vol 339 ◽  
pp. 3-29 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Dumitru Baleanu ◽  
Juan J. Nieto ◽  
Delfim F.M. Torres ◽  
Yong Zhou
Keyword(s):  
Optimal Control ◽  
Evolution Equations ◽  
Nonlocal Evolution Equations ◽  
Fractional Differential

scholarly journals On regularity and stability for a class of nonlocal evolution equations with nonlinear perturbations

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Dinh-Ke Tran ◽  
Nhu-Thang Nguyen
Keyword(s):  
Evolution Equations ◽  
Sufficient Conditions ◽  
Type Inequality ◽  
Global Solvability ◽  
Kernel Functions ◽  
Stability Of Solutions ◽  
Nonlinear Perturbations ◽  
Completely Positive ◽  
Positive Kernel ◽  
Nonlocal Evolution Equations

<p style='text-indent:20px;'>We study a class of nonlocal partial differential equations with nonlinear perturbations, which is a general model for some equations arose from fluid dynamics. Our aim is to analyze some sufficient conditions ensuring the global solvability, regularity and stability of solutions. Our analysis is based on the theory of completely positive kernel functions, local estimates and a new Gronwall type inequality.</p>

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