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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.

3 votes
1 answer
580 views

Density of $H^{1/2}(\partial \Omega)$ in $L_2(\partial\Omega)$

Hi, i know that the following statement is used extensively, but i cannot find a proof anywhere: For $\Omega$ a Lipschitz domain with boundary $\Gamma$, the space $H^{1/2}(\Gamma)$ is dense in $L_2( …