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Hokkaido University Preprint Series in Mathematics >
A lower bound for fundamental solutions of the heat convection equations
| Title: | A lower bound for fundamental solutions of the heat convection equations |
| Authors: | Maekawa, Yasunori Browse this author |
| Keywords: | heat convection equations | | Aronson estimates | | two dimensional vorticity equations |
| Issue Date: | 2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 788 |
| Start Page: | 1 |
| End Page: | 13 |
| 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69596 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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