Elliptic Problems with Robin Boundary Coefficient-Operator Conditions in General L_p Sobolev Spaces and Applications

In this paper we prove some new results on complete operational second order differential equations of elliptic type with coefficient-operator conditions, in the framework of the space L^p(0,1; X) with general p in (1,+infty), X being a UMD Banach space. Existence, uniqueness and optimal regularity of the classical solution are proved. This paper improves and completes naturally our last two works on this problematic.

Keywords

second-order abstract elliptic differential equations; Robin boundary conditions; analytic semigroup.

References

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