Strichartz Estimates for Wave Equations with Charge Transfer Hamiltonians.

Format:

Book

Author/Creator:

Chen, Gong.

Series:

Memoirs of the American Mathematical Society

Memoirs of the American Mathematical Society ; v.273

Language:

English

Subjects (All):

Wave equation.

Inequalities (Mathematics).

Estimation theory.

Charge transfer.

Hamiltonian systems.

Physical Description:

1 online resource (96 pages)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, 2021.

Summary:

"We prove Strichartz estimates (both regular and reversed) for a scattering state to the wave equation with a charge transfer Hamiltonian in R3: The energy estimate and the local energy decay of a scattering state are also established. In order to study nonlinear multisoltion systems, we will present the inhomogeneous generalizations of Strichartz estimates and local decay estimates. As an application of our results, we show that scattering states indeed scatter to solutions to the free wave equation. These estimates for this linear models are also of crucial importance for problems related to interactions of potentials and solitons, for example, in Comm. Math. Phys. 364 (2018), no. 1, pp. 45-82"-- Provided by publisher.

Contents:

Estimates along slanted lines

Endpoint reversed Strichartz estimates

Strichartz estimates and energy bound

Inhomogeneous estimates

Scattering.

Notes:

Description based on publisher supplied metadata and other sources.

"September 2021, volume 273, number 1339 (second of 5 numbers)."

Includes bibliographical references.

Other Format:

Print version: Chen, Gong Strichartz Estimates for Wave Equations with Charge Transfer Hamiltonians

ISBN:

9781470468071

OCLC:

1284944501