Thermal effects in gravitational Hartree systems

For the analysis of the spectrum of the Neumann realization of the Schr¨odinger operator with constant magnetic field S B in R 2,+ , we start like in the case of R 2 till (4.8)..

Estimates in dimension d = 2 for constant magnetic fields Numerical results and the symmetry issue. 3 Magnetic rings: the one-dimensional periodic case Magnetic interpolation on

We study the global Cauchy problem for nonlinear Schrödinger equations with cubic interactions of derivative type in space dimension n 3.. The global existence of small

We will also show that the solutions obtained minimize the original GL energy among all field configurations in the Coulomb gauge when the admissible space of the gauge vector

RABINOWITZ, Mini-Max Methods in Critical Point Theory with Applications to. Differential

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We prove that for a class of self- similar measures on R with overlaps, the Schr¨ odinger equations can be discretized so that the finite element method can be applied to

In Section 2 we give the solution o f the linear wave equation and introduce the Euler--Poisson--Darboux equation that will be used in the succeeding Sections, In