CORDIS Project
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This project explores the theory of pseudodifferential operators and their applications in analyzing degenerate elliptic and hyperbolic equations. It focuses on regularity, invertibility, and Sobolev estimates, with implications for physics and engineering, as well as studying operators on compact Lie groups.
This project will be consecrated to the investigation in various independent and intertwinedfields in analysis, the theory of pseudodifferential operators, harmonic analysis and the theoryof operators ideals.
We will apply the theory of pseudodifferential operators to study degenerate elliptic equations, degenerate hyperbolic operators, fractional powers of subelliptic operators, Sobolev estimates.
In particular we will investigate regularity on Sobolev spaces, invertibilityand the Cauchy proble…
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