Article ID Journal Published Year Pages File Type
4610229 Journal of Differential Equations 2015 23 Pages PDF
Abstract

Some Schrödinger equations with weighted nonlinear terms are derived from the nonrelativistic limit of nonlinear Klein–Gordon equations in de Sitter spacetime. Local and global solutions for the Cauchy problem are considered in Sobolev spaces for power type and exponential type nonlinear terms. The roles of spatial expansion and contraction on the problem are studied. And a dissipative property of the equations is remarked.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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