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Critical Exponents for the Heat-Conduction Equation with Nonlocal, Nonlinear Perturbations.
- 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]
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 129
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 17577003
- Full Text :
- https://doi.org/10.1007/s10958-005-0300-2