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- W2016647890 abstract "Let Ω⊆RN be a bounded Lipschitz domain. We first consider an elliptic boundary value problem with general Robin boundary conditions. The boundary conditions can be either local or nonlocal, depending on the conditions imposed on the elliptic operator. We prove that this boundary value problem is uniquely solvable, and moreover we show that such weak solution is Hölder continuous on Ω¯. We also prove that a realization of the associated differential operator with generalized local or nonlocal Robin boundary conditions generates an analytic C0-semigroup of angle π/2 over C(Ω¯). We conclude by applying the elliptic regularity theory to solve the corresponding Cauchy problem over C(Ω¯)." @default.
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- W2016647890 date "2012-02-01" @default.
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- W2016647890 title "Solvability of linear local and nonlocal Robin problems over <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mi>C</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mover accent=true><mml:mi>Ω</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mo stretchy=false>)</mml:mo></mml:math>" @default.
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- W2016647890 doi "https://doi.org/10.1016/j.jmaa.2011.08.028" @default.
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