Displaying similar documents to “Boundary value problems for partial differential equations with piecewise constant delay.”

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

Chen Guowang (1998)

Commentationes Mathematicae Universitatis Carolinae

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The existence, uniqueness and regularity of the generalized local solution and the classical local solution to the periodic boundary value problem and Cauchy problem for the multidimensional coupled system of a nonlinear complex Schrödinger equation and a generalized IMBq equation i ε t + ∇ 2 ε - u ε = 0 , u t t - ∇ 2 u - a ∇ 2 u t t = ∇ 2 f ( u ) + ∇ 2 ( | ε | 2 ) are proved.