Proves decay of solutions to nonlinear Dirac equations in expanding regions or compact sets in 1D, 3D and higher dimensions via adapted virial identities.
Standing Waves and Global Well-Posedness for the 2d Hartree Equa- tion with a Point Interaction
3 Pith papers cite this work. Polarity classification is still indexing.
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Establishes global existence, uniqueness and continuous dependence on data for a nonlinear Fokker-Planck model of grain growth under specific energy laws.
The paper proves existence of ground states for the planar nonlinear Schrödinger-Newton system with point interaction under sufficient conditions on p, α, β and mass c, and links critical points to standing waves.
citing papers explorer
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Decay of solutions of nonlinear Dirac equations
Proves decay of solutions to nonlinear Dirac equations in expanding regions or compact sets in 1D, 3D and higher dimensions via adapted virial identities.
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Global Well-Posedness of a Nonlinear Fokker-Planck Type Model of Grain Growth
Establishes global existence, uniqueness and continuous dependence on data for a nonlinear Fokker-Planck model of grain growth under specific energy laws.
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Ground states of the planar nonlinear Schr\"odinger--Newton system with a point interaction
The paper proves existence of ground states for the planar nonlinear Schrödinger-Newton system with point interaction under sufficient conditions on p, α, β and mass c, and links critical points to standing waves.