A construction of the fundamental solution for Schrödinger equations

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概要

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• n this paper, applying the skip method in Fujiwara [3] to the theory of multi-products of Fourier integral operators in Kitada and H.Kumano-go [6], we give a construction of the fundamental solution for the Cauchy problem of a pseudo-differential equation of Schrodinger's type. We regard this construction as a multi-product of Fourier integral operators, and investigate the pointwise convergence of the phase function and that of the symbol. Here we use neither the solution of the Hamilton-Jacobi equation in [6] nor the action of the classical orbit in [2],[4].

• 東京大学の論文

著者

• Kumano-go Naoto

  Graduate School Of Mathematical Sciences University Of Tokyo

関連論文

• A Hamiltonian Path Integral for a Degenerate Parabolic Pseudo-Differential Operator
• A construction of the fundamental solution for Schrödinger equations

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