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Elliptic Partial Differential Equations
MATH 653
Fourier transforms, distributions, elliptic equations, singular integrals, layer potentials, Sobolev spaces, regularity of elliptic boundary value problems. Prerequisite: Mathematics 557 and 631 or equivalent.
Curriculum Codes
QS
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Fall Only
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Math+
Math+ 2024
Sum-of-norms clustering
The combinatorics of Legendrian surfaces
Computational exploration of geometric flows in G2-geometry
Formalization of mathematics
Interactions between fluids and elastic solids
Math+ 2023
Analysis of preconditioned stochastic gradient descent with non-convex loss
Moduli spaces of stable weighted hyperplane arrangements
Computing hyperbolic structures from link diagrams
Automated theorem proving and proof verification
Applications of Neumann-type nonlocal boundary condition
DOmath 2022
Spatial and Temporal Epidemic Prediction by Neural Networks
Structure and stability for Brascamp–Lieb inequalities
Mathematical questions arising from the COVID epidemic
Exploring minimal surfaces modulo p
Modeling the dynamics of filter fouling
Smoothness of subspace-valued maps
DOmath 2021
Holonomy of combinatorial surfaces
Characterizing emerging features in cell dynamics
Parameter interference in epidemiological models
Calculus of variations and notions of convexity
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