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Results tagged with ap.analysis-of-pdes
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user 1849
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
13
votes
Hodge decomposition in elliptic complexes
Yes, there is a Hodge decomposition for elliptic complexes on compact oriented Riemannian manifolds.
$L^2$-version. Let $(M,g)$ be a compact oriented Riemannian manifold and let
$$
0 \to \Gamma(E_0) \ …
- 7,127
5
votes
Quaternion holomorphic maps via certain elliptic operator instead of immediate generalizatio...
This is more of a complementary answer to Vít Tuček's that addresses the individual questions in the OP. As per his answer, everything that follows below is valid in the more general context of Cliffo …
- 7,127