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elliptic pde – Duality dispute
M. Dauge proved in  the regularity property $Delta u in (W^1_p)^*$ $Rightarrow$ $u in W^1_p$ for Dirichlet and Neumann downside in domains with piecewise flush boundaries, for $p>3$. (behold Corollary 3.10). Then the creator acknowledged: “By a duality argument it is easy to deduce from previous statement that the Laplace operator… is an isomorphism …. when $3/2-epsilon <p<3+epsilon$ (see Rematk 3.11). What is “a duality argument” and which theorem must be used on this illustration? Dauge, M. Neumann and combined issues on curvilinear polyhedra.
Integral Equations Operator Theory 15 (1992), no. 2, 227–261.
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