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- W2963917376 abstract "We study the dynamical properties of blowup solutions to the focusing L2-supercritical nonlinear fractional Schrödinger equation i∂tu − (−Δ)su = −|u|αu on [0,+∞)×Rd, where d≥2,d2d−1≤s<1, 4sd<α<4sd−2s, and the initial data u(0)=u0∈Ḣsc∩Ḣs is radial with the critical Sobolev exponent sc. To this end, we establish a compactness lemma related to the equation by means of the profile decomposition for bounded sequences in Ḣsc∩Ḣs. As a result, we obtain the Ḣsc-concentration of blowup solutions with bounded Ḣsc-norm and the limiting profile of blowup solutions with critical Ḣsc-norm." @default.
- W2963917376 created "2019-07-30" @default.
- W2963917376 creator A5087338257 @default.
- W2963917376 date "2018-07-01" @default.
- W2963917376 modified "2023-09-25" @default.
- W2963917376 title "A study on blowup solutions to the focusing <i>L</i>2-supercritical nonlinear fractional Schrödinger equation" @default.
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- W2963917376 doi "https://doi.org/10.1063/1.5027713" @default.
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