Journal of Applied Mathematics and Stochastic Analysis
Volume 3 (1990), Issue 1, Pages 65-79
doi:10.1155/S1048953390000065
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.