Cauchy problem for multidimensional coupled system of nonlinear Schrödinger equation and generalized IMBq equation

Chen Guowang

Displaying similar documents to “Cauchy problem for multidimensional coupled system of nonlinear Schrödinger equation and generalized IMBq equation”

Homogenization of periodic semilinear hypoelliptic PDEs

Alassane Diédhiou, Étienne Pardoux (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

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We establish homogenization results for both linear and semilinear partial differential equations of parabolic type, when the linear second order PDE operator satisfies a hypoellipticity asumption, rather than the usual ellipticity condition. Our method of proof is essentially probabilistic.

Global in time solutions to quasilinear telegraph equations involving operators with time delay

Eduard Feireisl (1991)

Applications of Mathematics

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The existence of small global (in time) solutions to an abstract evolution equation containing a damping term is proved. The result is then applied to fully nonlinear telegraph equations and to nonlinear equations involving operators with time delay.

Existence and uniqueness of generalized solutions to a telegraph equation with an integral boundary condition via Galerkin's method.

Guezane-Lakoud, Assia, Dabas, Jaydev, Bahuguna, Dhirendra (2011)

International Journal of Mathematics and Mathematical Sciences

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On an initial-boundary value problem for the nonlinear Schrödinger equation.

Gajewski, Herbert (1979)

International Journal of Mathematics and Mathematical Sciences

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On the local well-posedness of a Benjamin-Ono-Boussinesq system.

Xue, Ruying (2005)

International Journal of Mathematics and Mathematical Sciences

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Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic growth nonlinearities I. On the continuability of smooth solutions

Arina A. Arkhipova (2000)

Commentationes Mathematicae Universitatis Carolinae

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A class of nonlinear parabolic systems with quadratic nonlinearities in the gradient (the case of two spatial variables) is considered. It is assumed that the elliptic operator of the system has a variational structure. The behavior of a smooth on a time interval $[0, T)$ solution to the Cauchy-Neumann problem is studied. For the situation when the “local energies” of the solution are uniformly bounded on $[0, T)$ , smooth extendibility of the solution up to $t = T$ is proved. In the case when $[0, T)$ defines...