Linear evolution equations with strongly measurable families and application to the Dirac equation

Authors :: Kentarou Yoshii
Noboru Okazawa
Source :: Discrete & Continuous Dynamical Systems - S. 4:723-744
Publication Year :: 2011
Publisher :: American Institute of Mathematical Sciences (AIMS), 2011.
Abstract: A new existence and uniqueness theorem is established for linear evolution equations of hyperbolic type with strongly measurable coefficients in a separable Hilbert space. The result is applied to the Dirac equation with time-dependent potential.

Subjects :: Picard–Lindelöf theorem
Independent equation
Applied Mathematics
Mathematical analysis
Dirac algebra
Type (model theory)
symbols.namesake
Dirac equation
symbols
Two-body Dirac equations
Discrete Mathematics and Combinatorics
Analysis
Separable hilbert space
Mathematics
Mathematical physics

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