Sharp \(L^r\) asymptotics of the small solutions to the nonlinear Schrödinger equations

DOI10.1016/S0362-546X(02)00265-1zbMath1021.35107MaRDI QIDQ1863507

Naoyasu Kita

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationnonlinear scatteringpower type nonlinearityshort-range casesharp decay rate of the difference between the nonlinear solution and the linear solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Sharp asymptotic behavior of solutions to Benjamin-Ono type equations -- short range case ⋮ SHARP ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO NONLINEAR SCHRÖDINGER EQUATIONS WITH REPULSIVE INTERACTIONS ⋮ Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D

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• Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
• The asymptotic behavior of nonlinear Schrödinger equations
• L∞C(ℝⁿ)-decay of classical solutions for nonlinear Schrödinger equations
• Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations

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