MATH-GA.2510-001 Advanced Partial Differential Equations

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3 points

Course Description

Selected PDE topics of broad importance and applicability, including:  boundary integral methods for elliptic PDE; regularity via Schauder estimates; steepest-descent and dynamical systems perspectives on some nonlinear parabolic equations; weak and strong solutions of the Navier-Stokes equations; and topics from the calculus of variations, including homogenization and Gamma convergence.

Prerequisites

MATH-GA 2500 (Partial Differential Equations), or a comparable introduction to PDE using Sobolev spaces and functional analysis.

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