Propagation of singularities for the wave equation
Dean Baskin, Kiril Datchev
TL;DR
This paper provides an accessible overview of Hormander's theorem on how singularities in solutions to the wave equation propagate, highlighting key ideas and implications.
Contribution
It offers a simplified, digestible exposition of Hormander's propagation of singularities theorem for the wave equation.
Findings
Clarifies the behavior of singularities in wave solutions
Highlights the significance of microlocal analysis in PDEs
Provides insights into the structure of wavefront sets
Abstract
This expository note gives a digest version of Hormander's propagation of singularities theorem for the wave equation.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Numerical methods for differential equations