Critical Exponents for the Heat-Conduction Equation with Nonlocal, Nonlinear Perturbations.

Authors :: Laptev, G. I.
Source :: Journal of Mathematical Sciences; Aug2005, Vol. 129 Issue 1, p3617-3625, 9p
Publication Year :: 2005
Abstract: We study the conditions for the existence and nonexistence of global in time ( t > 0), nonnegative solutions of the problem If p + q ≤ 2 + 2/ N, then the problem has no global nontrivial solutions. If p + q > 2 + 2/ N, then such solutions exist. Some generalizations of this problem are discussed. [ABSTRACT FROM AUTHOR]

Subjects :: THERMAL conductivity
THERMAL conductivity measurement
PERTURBATION theory
APPROXIMATION theory
FUNCTIONAL analysis
MATHEMATICAL physics
MATHEMATICS

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