Progress in the Problem of the L p -Contractivity of Semigroups for Partial Differential Operators

DOI10.1007/978-1-4419-1345-6_3zbMath1198.47064OpenAlexW2219055855MaRDI QIDQ5188062

Publication date: 10 March 2010

Published in: Around the Research of Vladimir Maz'ya III (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-1345-6_3

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items (2)

Convexity of power functions and bilinear embedding for divergence-form operators with complex coefficients ⋮ The $p$-ellipticity condition for second order elliptic systems and applications to the Lamé and homogenization problems

Cites Work

Dissipative operators in a Banach space
Dual semigroups and second order linear elliptic boundary value problems
Criteria for the $L^p$-dissipativity of systems of second order differential equations
Semigroups of linear operators and applications to partial differential equations
$L^ p$ contractive projections and the heat semigroup for differential forms
Elliptic differential operators on Lie groups
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Criteria for validity of the maximum modulus principle for solutions of linear parabolic systems
Semi-linear second-order elliptic equations in $L^1$
On the $L_{p}$-theory of $C_{0}$-semigroups associated with second-order elliptic operators. I
On the $L_{p}$-theory of $C_{0}$-semigroups associated with second-order elliptic operators. II
Uniformly elliptic operators with measurable coefficients
On $C_ 0$-semigroups generated by elliptic second order differential expressions on $L^ p$-spaces
Absence of $L^\infty$-contractivity for semigroups associated to complex elliptic operators in divergence form
$L^p$-theory for elliptic operators on $\mathbb R^d$ with singular coefficients
Criterion for the $L^p$-dissipativity of second order differential operators with complex coefficients
Sectorialness of Second Order Elliptic Operators in Divergence Form
$C_0$-Semigroups in $L^p ({\bf R}^d )$ and $\widehat{C}({\bf R}^d )$ Spaces Generated by the Differential Expression $\Delta + b \cdot \nabla$
L ^p Spectral Independence and L ¹ Analyticity
Gaussian estimates for second-order operators with unbounded coefficients
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