scholarly journals Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition

2020 ◽  
Vol 43 (8) ◽  
pp. 5464-5479
Author(s):  
Alexander Gladkov ◽  
Tatiana Kavitova
2014 ◽  
Vol 638-640 ◽  
pp. 1700-1704
Author(s):  
Yue Hu

In this paper, we consider the existence of global solution to the initial-boundary value problem for some hyperbolic equation with P-Laplace operator and a nonlinear dissipative term using the compactness criteria and the monotone mapping’s method.


2008 ◽  
Vol 10 (06) ◽  
pp. 1151-1181
Author(s):  
ELENA I. KAIKINA

We study the initial-boundary value problem for the fractional Landau–Ginzburg equations on a segment. The aim of this paper is to prove the global existence of solutions to the inital-boundary value problem and to find the main term of the asymptotic representation of solutions.


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