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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10126| Title: | Pointwise convergence for the heat equation on tori Tn and waveguide manifold Tn×Rm |
| Authors: | BHIMANI, DIVYANG G. DALAI, RUPAK K. Dept. of Mathematics |
| Keywords: | Heat kernel Pointwise convergence Maximal operators Weighted inequalities Waveguide manifold 2025 |
| Issue Date: | Aug-2025 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Mathematical Analysis and Applications, 548(01), 129389. |
| Abstract: | We completely characterize the weighted Lebesgue spaces on the torus Tn and waveguide manifold Tn×Rm for which the solutions of the heat equation converge pointwise (as time tends to zero) to the initial data. In the process, we also characterize the weighted Lebesgue spaces for the boundedness of maximal operators on the torus and waveguide manifold, which may be of independent interest. |
| URI: | https://doi.org/10.1016/j.jmaa.2025.129389 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10126 |
| ISSN: | 0022-247X 1096-0813 |
| Appears in Collections: | JOURNAL ARTICLES |
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