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Linear Partial Differential Equations on Singular Spaces — NSF Award to Northwestern University (IL, $200,000)

The problem of understanding wave propagation is ubiquitous in mathematics and its physical applications: sound waves, light waves, ripples in the structure of spacetime, and the "wave-functions" that describe particles on a microscopic scale are all described by a family of closely related equations. When the media in

Award titleLinear Partial Differential Equations on Singular Spaces
Award ID2452331
AwardeeNorthwestern University
CityEVANSTON
StateIL
Amount obligated$200,000
Principal investigatorJared Wunsch
ProgramANALYSIS PROGRAM
Start date08/15/2025
AbstractThe problem of understanding wave propagation is ubiquitous in mathematics and its physical applications: sound waves, light waves, ripples in the structure of spacetime, and the "wave-functions" that describe particles on a microscopic scale are all described by a family of closely related equations. When the media in which the waves propagate are rough or discontinuous, wave propagation is complicated by the effects of diffraction. This project is concerned with a number of aspects of wave pro
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