A lower bound for fundamental solutions of the heat convection equations

Yasunori Maekawa

doi:10.1007/s00205-007-0088-y

A lower bound for fundamental solutions of the heat convection equations

Yasunori Maekawa

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

This paper studies the heat convection equations when the convection term has some singularities at time zero. We shall establish the pointwise estimates for fundamental solutions from below by the Gaussian-like functions. As an application, we prove the existence and uniqueness of the mild solutions of the equations.

Original language	English
Pages (from-to)	45-58
Number of pages	14
Journal	Archive for Rational Mechanics and Analysis
Volume	189
Issue number	1
DOIs	https://doi.org/10.1007/s00205-007-0088-y
Publication status	Published - 2008 Jul 1

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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A lower bound for fundamental solutions of the heat convection equations

Abstract

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