Mathematical Models and Methods in Applied Sciences · 2015 · 230 citations · 31 references
Natural SciencesMathematicsPhysicsDifferential EquationsMathematical PhysicsTheoretical PhysicsNonlinear DynamicsPartial Differential EquationsRegular SolutionsSchrödinger EquationFractional Differential EquationsNonlinear Diffusion EquationsNonlinear Schrödinger EquationNonlinearityRegularity Theory
We investigate a class of nonlinear Schrödinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry as well as decays properties.
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