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Localizing Estimates of the Support of Solutions of some Nonlinear Schrödinger Equations - The Stationary Case
nonlinear Schrodinger equation compact support energy method
2011/1/19
The main goal of this paper is to study the nature of the support of the solution of suitable
nonlinear Schrodinger equations mainly the compactness of the support and its spatial localization.
Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates
Nonlinear equations for fractional Laplacians I Regularity maximum principles Hamiltonian estimates
2011/1/18
This is the first of two articles dealing with the equation (−)sv = f(v) in Rn, with s ∈ (0, 1), where (−)s stands for the fractional Laplacian —the infinitesimal generator of a L´...
Schrödinger dispersive estimates for a scaling-critical class of potentials
Schrö dinger dispersive estimates scaling-critical class potentials
2010/12/14
We prove a dispersive estimate for the evolution of Schr¨odinger operators H = − + V (x) in R3. The potential should belong to the closure of Cc b (R3) with respsect to the global Kato norm. So...