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PROPERTIES OF POSITIVE SOLUTIONS FOR A NONLOCAL REACTION-DIFFUSION EQUATION WITH NONLOCAL NONLINEAR BOUNDARY CONDITION
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 Title & Authors
PROPERTIES OF POSITIVE SOLUTIONS FOR A NONLOCAL REACTION-DIFFUSION EQUATION WITH NONLOCAL NONLINEAR BOUNDARY CONDITION
Mu, Chunlai; Liu, Dengming; Zhou, Shouming;
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 Abstract
In this paper, we study the properties of positive solutions for the reaction-diffusion equation = in with nonlocal nonlinear boundary condition u (x, t) = and nonnegative initial data (x), where p, q, k, l > 0. Some conditions for the existence and nonexistence of global positive solutions are given.
 Keywords
reaction-diffusion equation;global existence;blow-up;nonlocal nonlinear boundary condition;
 Language
English
 Cited by
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Blow-up for a degenerate parabolic equation with nonlocal source and nonlocal boundary, Applicable Analysis, 2011, 90, 9, 1373  crossref(new windwow)
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Roles of Weight Functions to a Nonlocal Porous Medium Equation with Inner Absorption and Nonlocal Boundary Condition, Abstract and Applied Analysis, 2012, 2012, 1  crossref(new windwow)
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