Local Time-Decay of High Energy Scattering States for the Schrödinger Equation.

Hans L. Cycon; Perry Peter A.

Displaying similar documents to “Local Time-Decay of High Energy Scattering States for the Schrödinger Equation.”

On a Class of non Linear Schrödinger Equations with non Local Interaction.

Jean Ginibre, Giorgio Velo (1980)

Mathematische Zeitschrift

Similarity:

Resolvent and Scattering Matrix at the Maximum of the Potential

Alexandrova, Ivana, Bony, Jean-François, Ramond, Thierry (2008)

Serdica Mathematical Journal

Similarity:

2000 Mathematics Subject Classification: 35P25, 81U20, 35S30, 47A10, 35B38. We study the microlocal structure of the resolvent of the semiclassical Schrödinger operator with short range potential at an energy which is a unique non-degenerate global maximum of the potential. We prove that it is a semiclassical Fourier integral operator quantizing the incoming and outgoing Lagrangian submanifolds associated to the fixed hyperbolic point. We then discuss two applications of...

Scattering theory: Some old and new problems.

Yafaev, D. (1998)

Documenta Mathematica

Similarity:

Solitons and large time behavior of solutions of a multidimensional integrable equation

Anna Kazeykina (2013)

Journées Équations aux dérivées partielles

Similarity:

Novikov-Veselov equation is a (2+1)-dimensional analog of the classic Korteweg-de Vries equation integrable via the inverse scattering translform for the 2-dimensional stationary Schrödinger equation. In this talk we present some recent results on existence and absence of algebraically localized solitons for the Novikov-Veselov equation as well as some results on the large time behavior of the “inverse scattering solutions” for this equation.