LINEAR EVOLUTION EQUATIONS WITH STRONGLY MEASURABLE FAMILIES AND APPLICATION TO THE DIRAC EQUATION

作者：Okazawa Noboru^*; Yoshii Kentarou

来源：Discrete and Continuous Dynamical Systems - Series S, 2011, 4(3): 723-744.

DOI：10.3934/dcdss.2011.4.723

• Linear evolution equations
• hyperbolic type
• measurable coefficients
• the Dirac equation

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.

• 出版日期2011-6