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• W2950791330 abstract "We establish an integration by parts formula in bounded domains for the higher order fractional Laplacian $(-Delta)^s$ with $s>1$. We also obtain the Pohozaev identity for this operator. Both identities involve local boundary terms, and they extend the identities obtained by the authors in the case $sin(0,1)$. As an immediate consequence of these results, we obtain a unique continuation property for the eigenfunctions $(-Delta)^sphi=lambdaphi$ in $Omega$, $phiequiv0$ in $mathbb R^nsetminusOmega$." @default.
• W2950791330 created "2019-06-27" @default.
• W2950791330 creator A5005248507 @default.
• W2950791330 creator A5049280033 @default.
• W2950791330 date "2014-06-04" @default.
• W2950791330 modified "2023-09-27" @default.
• W2950791330 title "Local integration by parts and Pohozaev identities for higher order fractional Laplacians" @default.
• W2950791330 cites W1965691756 @default.
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• W2950791330 hasPublicationYear "2014" @default.
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