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Universal bounds for global solutions of a diffusion equation with a mixed local-nonlocal reaction term. (English) Zbl 1164.35320
Summary: We prove the existence of a universal (i.e., independent of the initial data) bound for global positive solutions of a diffusion equation with a mixed local-nonlocal reaction term. Such results are already known in some instances of local or nonlocal reaction terms.
MSC:
35B35 Stability in context of PDEs
35B45 A priori estimates in context of PDEs
35K55 Nonlinear parabolic equations
35K57 Reaction-diffusion equations
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