Transmission problem for an abstract fourth-order differential equation of elliptic type in UMD spaces

zbMath1194.35128MaRDI QIDQ969237

Angelo Favini, Hassan Diaramouna Sidibé, Keddour Lemrabet, Stéphane Maingot, Rabah Labbas

Publication date: 14 May 2010

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

bilaplacian transmission problemDore-Venni theoremoperational Dunford calculus

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Integral representations of solutions to PDEs (35C15) Partial functional-differential equations (35R10) Abstract integral equations, integral equations in abstract spaces (45N05) Higher-order elliptic equations (35J30) PDEs in connection with mechanics of deformable solids (35Q74)

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Generation of analytic semigroups for some generalized diffusion operators in \(L^p\)-spaces ⋮ On solvability of third-order operator differential equation with parabolic principal part in weighted space ⋮ Solvability of boundary value problems for second-order elliptic differential-operator equations with a spectral parameter and with a discontinuous coefficient at the highest derivative ⋮ A biharmonic transmission problem in \(L^p\)-spaces ⋮ On the regularity of a generalized diffusion problem arising in population dynamics set in a cylindrical domain

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