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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

郑春雄 教授, 清华大学

Inviter: 季霞
Title:
Optimal error estimates for first-order Gaussian beam approximations to the Schrodinger equation
Time & Venue:
2017.11.9 16:00-17:00 思源楼一层报告厅
Abstract:

Gaussian beams are generally local asymptotic solutions to the linear wave equations in the high-frequency regime. Each Gaussian beam is concentrated around a specific ray path determined by the underlying Hamiltonian system. Expressed as some superposition of Gaussian beams, Gaussian beam approximation is expected to be a high-frequency asymptotic solution which remains globally valid even around caustics. We derive optimal first-order error estimates for first-order Gaussian beam approximations to the Schrodinger equation equipped with a WKB initial data. Our error estimates are valid for any spatial dimension and unaffected by the presence of caustic.

 

 

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