Dirichlet and Neumann Boundary Values of Solutions to Higher Order Elliptic Equations
نویسنده
چکیده
We show that if u is a solution to a linear elliptic differential equation of order 2m ≥ 2 in the half-space with t-independent coefficients, and if u satisfies certain area integral estimates, then the Dirichlet and Neumann boundary values of u exist and lie in a Lebesgue space Lp(Rn) or Sobolev space Ẇ p ±1(R n). Even in the case where u is a solution to a second order equation, our results are new for certain values of p.
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تاریخ انتشار 2017