Operational approach for biharmonic equations in \(L^p\)-spaces
From MaRDI portal
Publication:2188081
DOI10.1007/s00028-019-00536-2zbMath1440.35087OpenAlexW2976328872MaRDI QIDQ2188081
Publication date: 3 June 2020
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00028-019-00536-2
Smoothness and regularity of solutions to PDEs (35B65) One-parameter semigroups and linear evolution equations (47D06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30)
Related Items (5)
On a generalized diffusion problem: a complex network approach ⋮ A Mathematical Analysis Method for Bending Problem of Clamped Shallow Spherical Shell on Elastic Foundation ⋮ Generation of analytic semigroups for some generalized diffusion operators in \(L^p\)-spaces ⋮ On the solvability of fourth-order boundary value problems with accretive operators ⋮ A biharmonic transmission problem in \(L^p\)-spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Resolution and optimal regularity for a biharmonic equation with impedance boundary conditions and some generalizations
- On the regularity of a generalized diffusion problem arising in population dynamics set in a cylindrical domain
- Some remarks on Banach spaces in which martingale difference sequences are unconditional
- Semigroups of linear operators and applications to partial differential equations
- On operators with bounded imaginary powers in Banach spaces
- A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
- A generalized diffusion model for growth and dispersal in a population
- Sommes d'opérateurs linéaires et équations différentielles opérationnelles
- Imaginary powers of elliptic second order differential operators in \(L^ p\)-spaces
- Elliptic partial differential equations of second order
- Generalized linear models for population dynamics in two juxtaposed habitats
- On the closedness of the sum of two closed operators
- A sharp equivalence between \(H ^{\infty }\) functional calculus and square function estimates
- On some transmission problems set in a biological cell, analysis and resolution
- On the bilaplacian problem with nonlinear boundary conditions
- New criteria for the \(H^\infty\)-calculus and the Stokes operator on bounded Lipschitz domains
- Functional calculus for groups and applications to evolution equations
- The functional calculus for sectorial operators
- On a class of interpolation spaces
- Complete Abstract Differential Equations of Elliptic Type in UMD Spaces
- A Simplified Approach in the Study of Elliptic Differential Equations in UMD Spaces and New Applications
- Analyse asymptotique du comportement en flexion de deux plaques collées
- Conditions de transmission pour les jonctions de plaques minces
- Revisiting the biharmonic equation modelling electrostatic actuation in lower dimensions
- Nonlinear non-local elliptic equation modelling electrostatic actuation
- On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation
- Analytic semigroups and optimal regularity in parabolic problems
This page was built for publication: Operational approach for biharmonic equations in \(L^p\)-spaces