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Results tagged with ap.analysis-of-pdes
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user 101392
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
7
votes
Elliptic regularity for the Neumann problem
It's true that to prove existence for the Neumann problem you work in the space $X=\{v\in H^1(\Omega):\, \int_\Omega v\,dx=0\}$ and so a weak solution $u$ satisfies
$$\int_\Omega\nabla u\cdot\nabla v …
- 411