Abstract
AbstractMagnetic Schrödinger type equations are important physical models in the study of quantum electrodynamics (QED). This manuscript focuses on the regularity behavior of the solution of the stochastic hyperbolic equation influenced by various types of exponentially oscillating coefficients on the principal Hamiltonian operator part. Techniques from harmonic analysis and stochastic analysis are applied to explore the upper bound of loss of regularity. Moreover, appropriate counter‐examples with periodic coefficients are constructed to show the lower bound of loss of regularity by the application of instability arguments.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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