Gaussian lower bound for the Neumann Green function of a general parabolic operator View Full Text


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Article Info

DATE

2015-09

AUTHORS

Mourad Choulli, Laurent Kayser

ABSTRACT

Based on the fact that the Neumann Green function can be constructed as a perturbation of the fundamental solution by a single-layer potential, we establish a Gaussian lower bound for the Neumann Green function for a general parabolic operator. We build our analysis on classical tools coming from the construction of a fundamental solution of a general parabolic operator by means of the so-called parametrix method. At the same time we provide a simple proof for Gaussian two-sided bounds for the fundamental solution. More... »

PAGES

625-646

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11117-014-0319-z

DOI

http://dx.doi.org/10.1007/s11117-014-0319-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1020500119


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