Document Type
Article
Publication Title
Journal of Applied Mathematics and Stochastic Analysis
Abstract
In [4] and [5], the author studied strong maximum principles for nonlinear parabolic problems with initial and nonlocal inequalities, respectively. Our purpose here is to extend results in [4] and [5] to strong maximum principles for nonlinear parabolic problems with nonlocal inequalities together with integrals. The results obtained in this paper can be applied in the theories of diffusion and heat conduction, since considered here integrals in nonlocal inequalities can be interpreted as mean amounts of the diffused substance or mean temperatures of the investigated medium.
First Page
65
Last Page
79
DOI
10.1155/S1048953390000065
Publication Date
1990
Recommended Citation
Byszewski, L. (1990). Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with integrals. Journal of Applied Mathematics and Stochastic Analysis, 3(1), 65-79. doi:10.1155/S1048953390000065