Complete abstract differential equations of elliptic type with general Robin boundary conditions, in UMD spaces
Copyright policy )Complete abstract differential equations of elliptic type with general Robin boundary conditions, in UMD spaces
In this paper we prove some new results concerning a complete abstract second-order differential equation with general Robin boundary conditions. The study is developped in UMD spaces and uses the celebrated Dore-Venni Theorem. We prove existence, uniqueness and maximal regularity of the strict solution.
Dore-Venni Theorem, Abstract diff erential equations of second order, Bounded imaginary powers, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], ABSTRACT DIFFERENTIAL EQUATIONS, Boundary value problem of Robin type, UMD spaces, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]
Dore-Venni Theorem, Abstract diff erential equations of second order, Bounded imaginary powers, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], ABSTRACT DIFFERENTIAL EQUATIONS, Boundary value problem of Robin type, UMD spaces, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]
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