Abstract.
We prove the existence of self-similar solutions of the Schrödinger equation in \( {\Bbb R}^N \) with the power nonlinearity \( \gamma|u|^\alpha u \). Existence is obtained for a range of \( \alpha \) which differs from, but overlaps with, the range of powers considered in [4]. We also obtain regularity results for the self-similar solutions constructed in [4].
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Received May 16, 1997
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Cazenave, T., Weissler, F. More self-similar solutions of the nonlinear Schrödinger equation. NoDEA, Nonlinear differ. equ. appl. 5, 355–365 (1998). https://doi.org/10.1007/s000300050050
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DOI: https://doi.org/10.1007/s000300050050