Blow-up for the nonlinear Schrödinger equation in nonisotropic spaces

Nonlinear Analysis, Theory, Methods and Applications

Volumn 28, Issue 12, 1997, Pages 1903-1908

  Martel, Yvan ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

Blow up in finite time; Nonlinear Schr dinger equation

Indexed keywords

CALCULATIONS; FINITE ELEMENT METHOD; FUNCTIONS; MATHEMATICAL TECHNIQUES; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS;

BLOW UP IN FINITE TIME; GAGLIARDO-NIRENBERG INEQUALITY; HOLDER INEQUALITY; INTEGRAL BLOW UP ESTIMATE; NONISOTROPIC SPACES; NONLINEAR SCHRODINGER EQUATION;

NONLINEAR EQUATIONS;

EID: 0031165953     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00036-3     Document Type: Article

References (7)

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3. GLASSEY, R. T., On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations. J. Math. Phys., 1977, 18, 1794-1797.
4. MERLE, F., Limit of the solution of the nonlinear Schrödinger equation at the blow up time. J. Funct. Anal., 1989, 84, 201-214.
5. 1 solutions for the nonlinear Schrödinger equation. J. Diff. Eqns, 1991, 92, 317-330.
6. 1 solutions for the one dimensional nonlinear Schrödinger equation with critical power nonlinearity. Proc. Am. Math. Soc., 1991, 111, 487-496.
7. STRAUSS, W. A., Existence of solitary waves in higher dimensions. Comm. Math. Phys., 1977, 55, 149-162.