Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with integrals

DOI10.1155/S1048953390000065zbMath0726.35023MaRDI QIDQ803785

Ludwik Byszewski

Publication date: 1990

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46592

zbMATH Keywords

nonlocal inequalities

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Partial differential inequalities and systems of partial differential inequalities (35R45) Maximum principles in context of PDEs (35B50)

Related Items (8)

Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space ⋮ The generalized nonlocal boundary condition for fractional Langevin equation with a weakly singular source ⋮ Multiple positive solutions of parabolic systems with nonlinear, nonlocal initial conditions ⋮ Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with arbitrary functionals ⋮ Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem ⋮ Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems ⋮ Impulsive degenerate nonlinear parabolic functional-differential inequalities ⋮ On mild solutions of the generalized nonlinear fractional pseudo-parabolic equation with a nonlocal condition

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