论文信息 - Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with arbitrary functionals

Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with arbitrary functionals

Abstract In [L. Byszewski, Z. Angew. Math. Mech. 70 (1990) 3, 202–206; L. Byszewski, J. Appl. Math. Stochastic Ann. 3 (1990) 5, 65–79], the author studied strong maximum principles for nonlinear parabolic problems with nonlocal inequalities together with particular functionals. Our purpose here is to extend results in [L. Byszewski, Z. Angew. Math. Mech. 70 (1990) 3, 202–206; L. Byszewski, J. Appl. Math. Stochastic Ann. 3 (1990) 5, 65–79] to strong maximum principles for nonlinear parabolic problems with nonlocal inequalities together with arbitrary functionals. The results obtained in this paper can be applied in the theories of diffusion and heat conduction.

Ludwik Byszewski

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