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Volume 20, Issue 3
Space-time Estimate to Heat Equation

Yidong Wang & Lingyu Jiang

J. Part. Diff. Eq., 20 (2007), pp. 247-251.

Published online: 2007-08

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  • Abstract

In this article, we prove the Strichartz type estimate for the solutions of linear heat equation with initial data in Hardy space H¹(R^d). As an application, we obtain the full space-time estimate to the solutions of heat equation with initial data in L^p(R^d) for 1 ‹ p ‹ ∞.

  • Keywords

Strichartz estimate heat equation Hardy space

  • AMS Subject Headings

35 42.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-20-247, author = {}, title = {Space-time Estimate to Heat Equation}, journal = {Journal of Partial Differential Equations}, year = {2007}, volume = {20}, number = {3}, pages = {247--251}, abstract = {

In this article, we prove the Strichartz type estimate for the solutions of linear heat equation with initial data in Hardy space H¹(R^d). As an application, we obtain the full space-time estimate to the solutions of heat equation with initial data in L^p(R^d) for 1 ‹ p ‹ ∞.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5305.html} }
TY - JOUR T1 - Space-time Estimate to Heat Equation JO - Journal of Partial Differential Equations VL - 3 SP - 247 EP - 251 PY - 2007 DA - 2007/08 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5305.html KW - Strichartz estimate KW - heat equation KW - Hardy space AB -

In this article, we prove the Strichartz type estimate for the solutions of linear heat equation with initial data in Hardy space H¹(R^d). As an application, we obtain the full space-time estimate to the solutions of heat equation with initial data in L^p(R^d) for 1 ‹ p ‹ ∞.

Yidong Wang & Lingyu Jiang . (2019). Space-time Estimate to Heat Equation. Journal of Partial Differential Equations. 20 (3). 247-251. doi:
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