A Harnack inequality for solutions of difference differential equations of elliptic-parabolic type.

Masashi Misawa

Displaying similar documents to “A Harnack inequality for solutions of difference differential equations of elliptic-parabolic type.”

Quasilinear Elliptic-Parabolic Differentail Equations.

Hans W. Alt, Stephan Luckhaus (1983)

Mathematische Zeitschrift

Similarity:

On integro-differential equations of parabolic and elliptic type

H. Ugowski (1970)

Annales Polonici Mathematici

Similarity:

Some uniqueness theorems for solutions of parabolic and elliptic partial differential equations in unbounded regions

P. Besala, H. Ugowski (1969)

Colloquium Mathematicae

Similarity:

On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis

Piotr Biler, Lorenzo Brandolese (2009)

Studia Mathematica

Similarity:

We establish new results on convergence, in strong topologies, of solutions of the parabolic-parabolic Keller-Segel system in the plane to the corresponding solutions of the parabolic-elliptic model, as a physical parameter goes to zero. Our main tools are suitable space-time estimates, implying the global existence of slowly decaying (in general, nonintegrable) solutions for these models, under a natural smallness assumption.