The Stokes resolvent problem: optimal pressure estimates and remarks on resolvent estimates in convex domains
DOI10.1007/s00526-020-01811-8zbMath1451.35140arXiv1911.06231OpenAlexW3080205377MaRDI QIDQ2204072
Publication date: 2 October 2020
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.06231
Stokes problemhomogeneous Dirichlet boundary conditionsdecay ratehomogeneous Neumann-type boundary conditions
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Spectrum, resolvent (47A10) Weak solutions to PDEs (35D30) Harmonic analysis and PDEs (42B37)
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Cites Work
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- \(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle
- The Neumann problem and Helmholtz decomposition in convex domains
- On the semigroup of the Stokes operator for exterior domains in L q- spaces
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- A regularity result for the Stokes problem in a convex polygon
- Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
- \(H^\infty\)-calculus for the Stokes operator on \(L_q\)-spaces
- Boundedness of imaginary powers of the Stokes operator in an infinite layer
- Elliptic partial differential equations of second order
- Seventy five (thousand) unsolved problems in analysis and partial differential equations
- \(\mathcal {R}\)-sectoriality of higher-order elliptic systems on general bounded domains
- Global solvability of the Navier-Stokes equations with a free surface in the maximal \(L_{p}-L_{q}\) regularity class
- Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in \(L^p\) spaces on Lipschitz domains
- On the \(\mathrm {L}^p\)-theory of the Navier-Stokes equations on three-dimensional bounded Lipschitz domains
- Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
- Perturbation theory for linear operators.
- The Dirichlet problem for the Stokes system on Lipschitz domains
- Calderón-Zygmund theory for non-integral operators and the \(H^\infty\) functional calculus
- Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
- The respiratory system in equations
- Maximal \(L^p\)-\(L^ q\)-estimates for the Stokes equation: a short proof of Solonnikov's theorem
- The Stokes operator with Neumann boundary conditions in Lipschitz domains
- The Navier-Stokes equations in exterior Lipschitz domains: \(L^p\)-theory
- Resolvent estimates in \(L ^{p }\) for the Stokes operator in Lipschitz domains
- New criteria for the \(H^\infty\)-calculus and the Stokes operator on bounded Lipschitz domains
- Behaviour of the Stokes operators under domain perturbation
- The regularity of the Stokes operator and the Fujita-Kato approach to the Navier-Stokes initial value problem in Lipschitz domains
- The functional calculus for sectorial operators
- An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains
- The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces
- Finite Element Pointwise Results on Convex Polyhedral Domains
- Weak Neumann implies Stokes
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Potential Space Estimates for Green Potentials in Convex Domains
- L p -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle
- The initial value problem for the navier-stokes equations with a free surface
- Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.
- One-Parameter Semigroups for Linear Evolution Equations
- Stokes problem for Lipschitz domain
- Nematic Liquid Crystals in Lipschitz Domains
- On analyticity of the ‐Stokes semigroup for some non‐Helmholtz domains
- Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
- Finite element methods for surface PDEs
- Galerkin Finite Element Methods for Parabolic Problems
- Notions of convexity
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