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Nonlinear Schrödinger equations with inverse-square potentials in two dimensional space
1. | Department of Mathematics, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601 |
References:
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N.Okazawa, T.Suzuki, T.Yokota, Cauchy problem for nonlinear Schrödinger equations with inverse-square potentials,, Appl. Anal., 91 (2012), 1605. Google Scholar |
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N.Okazawa, T.Suzuki, T.Yokota, Energy methods for abstract nonlinear Schrödinger equations,, Evol. Equ. Control Theory, 1 (2012), 337. Google Scholar |
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T.Suzuki, Energy methods for Hartree type equation with inverse-square potentials,, Evol. Equ. Control Theory, 2 (2013), 531. Google Scholar |
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T.Suzuki, Critical case of nonlinear Schrödinger equations with inverse-square potentials on bounded domains,, Math. Bohemica, 139 (2014), 231. Google Scholar |
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T.Suzuki, Solvability of nonlinear Schrödinger equations with some critical singular potential via generalized Hardy-Rellich inequalities,, Funkcial. Ekvac., (). Google Scholar |
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L.Wei, Z.Feng, Isolated singularity for semilinear elliptic equations,, Discrete and Continuous Dynamical System-A, 35 (2015), 3239. Google Scholar |
show all references
References:
[1] |
N.Burq, F.Planchon, J.Stalker, A.S.Tahvildar-Zadeh, Strichartz estimates for the wave and Schrödinger, equations with the inverse-square potential, 203 (2003), 519. Google Scholar |
[2] |
T.Ogawa, A proof of Trudinger's inequality and its application to nonlinear Schrödinger equations,, Nonlinear Anal., 14 (1990), 765. Google Scholar |
[3] |
N.Okazawa, T.Suzuki, T.Yokota, Cauchy problem for nonlinear Schrödinger equations with inverse-square potentials,, Appl. Anal., 91 (2012), 1605. Google Scholar |
[4] |
N.Okazawa, T.Suzuki, T.Yokota, Energy methods for abstract nonlinear Schrödinger equations,, Evol. Equ. Control Theory, 1 (2012), 337. Google Scholar |
[5] |
T.Suzuki, Energy methods for Hartree type equation with inverse-square potentials,, Evol. Equ. Control Theory, 2 (2013), 531. Google Scholar |
[6] |
T.Suzuki, Critical case of nonlinear Schrödinger equations with inverse-square potentials on bounded domains,, Math. Bohemica, 139 (2014), 231. Google Scholar |
[7] |
T.Suzuki, Solvability of nonlinear Schrödinger equations with some critical singular potential via generalized Hardy-Rellich inequalities,, Funkcial. Ekvac., (). Google Scholar |
[8] |
L.Wei, Z.Feng, Isolated singularity for semilinear elliptic equations,, Discrete and Continuous Dynamical System-A, 35 (2015), 3239. Google Scholar |
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