On \(p\)-elliptic divergence form operators and holomorphic semigroups
From MaRDI portal
Publication:2195107
DOI10.1007/s00028-019-00537-1OpenAlexW2905661997WikidataQ127131502 ScholiaQ127131502MaRDI QIDQ2195107
Publication date: 7 September 2020
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.09154
ultracontractivitydissipative operatorsoff-diagonal estimatesholomorphic semigroups\(p\)-ellipticitydivergence form operators on open sets
One-parameter semigroups and linear evolution equations (47D06) Second-order elliptic equations (35J15) Linear accretive operators, dissipative operators, etc. (47B44)
Related Items (11)
A survey of functional and Lp-dissipativity theory ⋮ Sectoriality of degenerate elliptic operators via \(p\)-ellipticity ⋮ Trilinear embedding for divergence-form operators with complex coefficients ⋮ A universal variational framework for parabolic equations and systems ⋮ The functional dissipativity of certain systems of partial differential equations ⋮ Nittka's invariance criterion and Hilbert space valued parabolic equations in \(L_p\) ⋮ Generation of semigroups associated to strongly coupled elliptic operators in \(L^p (\mathbb{R}^d; \mathbb{R}^m)\) ⋮ Criterion for the functional dissipativity of the Lamé operator ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ On sectoriality of degenerate elliptic operators ⋮ On the \(\mathrm{L}^p\)-theory for second-order elliptic operators in divergence form with complex coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Projections onto convex sets and \(L ^{p }\)-quasi-contractivity of semigroups
- Necessary and sufficient conditions for the chain rule in \(W_{\text{loc}}^{1,1} (\mathbb R^N;\mathbb R^d)\) and \(BV_{\text{loc}}(\mathbb R^N;\mathbb R^d)\)
- Regularity theory for solutions to second order elliptic operators with complex coefficients and the \(L^{p}\) Dirichlet problem
- \(\mathcal {R}\)-sectoriality of higher-order elliptic systems on general bounded domains
- Quasi-\(L^p\)-contractive analytic semigroups generated by elliptic operators with complex unbounded coefficients on arbitrary domains
- Perturbation theory for linear operators.
- On the \(L_{p}\)-theory of \(C_{0}\)-semigroups associated with second-order elliptic operators. I
- Uniformly elliptic operators with measurable coefficients
- \(L^p\)-estimates for the square root of elliptic systems with mixed boundary conditions
- Bilinear embedding for divergence-form operators with complex coefficients on irregular domains
- Hardy's inequality for functions vanishing on a part of the boundary
- Criterion for the \(L^p\)-dissipativity of second order differential operators with complex coefficients
- L∞-ESTIMATES FOR DIVERGENCE OPERATORS ON BAD DOMAINS
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- Weakly Differentiable Functions
- One-Parameter Semigroups for Linear Evolution Equations
- A priori estimates for solutions to elliptic equations on non-smooth domains
- On the Lp-theory of C0-semigroups associated with second-order elliptic operators with complex singular coefficients
- Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces
This page was built for publication: On \(p\)-elliptic divergence form operators and holomorphic semigroups
