Dirichlet Problem on the Ball

Related lectures (31)

Page 1 of 4

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the fundamental solutions of the Laplace equation and introduces distributions.

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Covers the theory and applications of Green's function in solving differential equations.

Covers the concept of Green's functions in Laplace equations and their solution construction process.

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.

Covers generalized integrals, convergence criteria, series convergence, and harmonic series in analysis.

Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Explores linear similarities and similitudes, demonstrating their properties and applications in geometry.