Fractional Laplacian on the torus
DOI10.1142/S0219199715500339zbMath1383.35246arXiv1209.6104OpenAlexW2963946139MaRDI QIDQ2800057
Publication date: 14 April 2016
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.6104
heat equationmultiple Fourier seriesextension problemHölder estimatesfractional Laplacianmultidimensional torusinterior and boundary Harnack's inequalities
Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Heat kernel (35K08)
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