Boundary values of solutions of elliptic equations satisfying $H\sp{p}$ conditions
Boundary values of solutions of elliptic equations satisfying $H\sp{p}$ conditions
Let A be an elliptic linear partial differential operator with ${C^\infty }$ coefficients on a manifold ${\mathbf {\Omega }}$ with boundary ${\mathbf {\Gamma }}$. We study solutions of $Au = \sigma$ which satisfy the ${H^p}$ condition that ${\sup _{0 < t < 1}}{\left \| {u( \cdot ,t)} \right \|_p} < …