Recent Advances in Partial Differential Equations and Harmonic Analysis
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Organizer(s): |
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Affiliation:
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Country:
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IRINA MITREA
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Temple University
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USA
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DORINA MITREA
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Baylor University
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USA
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Introduction:
| | The session focuses on research problems at the interface between Partial Differential Equations (PDE) and Harmonic Analysis, with a special emphasis on the regularity of solutions to linear and nonlinear elliptic boundary value problems. Techniques originating from these fields have a long and distinguished history, driving many fundamental developments in various areas of mathematics and having important applications in physics and engineering. Recent results at the confluence of PDE and Harmonic Analysis have proven extremely potent in addressing a host of difficult and significant problems in Analysis. Progress in these fields continues to have a major impact on the study of boundary value problems arising in acoustics, heat diffusion, electrostatics, electrodynamics, thermodynamics, statistical mechanics, fluid dynamics, elasticity, general relativity, and quantum mechanics. This session will serve as an international forum for disseminating new advances at this active interface.
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