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Results tagged with ap.analysis-of-pdes
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user 15192
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
2
votes
Accepted
Reference for a Heat Process in a Wedge
Lemma 1 of Brownian motion in cones by Banuelos and Smits gives the Dirichlet heat kernel for generalized cones in $\mathbb{R}^n$ in terms of Bessel functions and spherical harmonics. The paper refere …
- 551
7
votes
0
answers
493
views
planar mappings that preserve elliptic measure
Let $D_1$ and $D_2$ be two bounded simply connected Jordan domains in $\mathbb{R}^2$. By Carathéodory's Theorem there exists a homeomorphism $f:\bar{D}_1 \to \bar{D}_2$ such that the restriction $f:D_ …
- 551