Time-Marching Algorithms for Nonlocal Evolution Equations Based Upon "Approximate Approximations"

1997 ◽  
Vol 18 (3) ◽  
pp. 736-752 ◽  
Author(s):  
Vladimir Karlin ◽  
Vladimir Maz'ya
Keyword(s):  
Evolution Equations ◽  
Time Marching ◽  
Nonlocal Evolution Equations ◽  
Time Marching Algorithms

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 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
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