Uniformly elliptic operators with measurable coefficients
From MaRDI portal
Publication:1897289
DOI10.1006/jfan.1995.1103zbMath0839.35034OpenAlexW2067187482MaRDI QIDQ1897289
Publication date: 19 June 1996
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1995.1103
General topics in linear spectral theory for PDEs (35P05) One-parameter semigroups and linear evolution equations (47D06) Fundamental solutions to PDEs (35A08) Higher-order elliptic equations (35J30)
Related Items
Higher-order operators on networks: hyperbolic and parabolic theory ⋮ Calderón-Zygmund theory for non-integral operators and the \(H^\infty\) functional calculus ⋮ Fractional measure-dependent nonlinear second-order stochastic evolution equations with Poisson jumps ⋮ Boundedness of generalized Riesz transforms on Orlicz-Hardy spaces associated to operators ⋮ Fourth-order Schrödinger type operator with singular potentials ⋮ On complex-time heat kernels of fractional Schrödinger operators via Phragmén-Lindelöf principle ⋮ STABLE CONTINUOUS SPECTRA FOR DIFFERENTIAL OPERATORS OF ARBITRARY ORDER ⋮ Sharp \(L^p\) estimates for Schrödinger groups ⋮ Long time asymptotics of fourth order parabolic equations ⋮ The logarithmic Hardy-Littlewood-Sobolev inequality and extremals of zeta functions on \(S^ n\) ⋮ Extension problem and fractional operators: semigroups and wave equations ⋮ Spectral multipliers on exponentially locally doubling metric measure spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the heat kernel of a class of fourth order operators in two dimensions: sharp Gaussian estimates and short time asymptotics ⋮ \(L^{p}\) estimates for fractional Schrödinger operators with Kato class potentials ⋮ Inequalities for lower order eigenvalues of second order elliptic operators in divergence form on Riemannian manifolds ⋮ A survey of functional and Lp-dissipativity theory ⋮ On-diagonal asymptotics for heat kernels of a class of inhomogeneous partial differential operators ⋮ Hardy spaces \(H^p_L (\mathbb R^{n })\) associated with operators satisfying \(k\)-Davies-Gaffney estimates ⋮ Uniform complex time heat kernel estimates without Gaussian bounds ⋮ Stochastic analysis without probability: study of some basic tools ⋮ A universal variational framework for parabolic equations and systems ⋮ Smooth Fourier multipliers in group algebras via Sobolev dimension ⋮ On the convolution powers of complex functions on \(\mathbb{Z}\) ⋮ Sharp endpoint estimates for Schrödinger groups on Hardy spaces ⋮ Davies’ method for anomalous diffusions ⋮ Extrapolation of the functional calculus of generalized Dirac operators and related embedding and Littlewood-Paley-type theorems. I ⋮ Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes ⋮ On \(p\)-elliptic divergence form operators and holomorphic semigroups ⋮ Nittka's invariance criterion and Hilbert space valued parabolic equations in \(L_p\) ⋮ Generation of semigroups associated to strongly coupled elliptic operators in \(L^p (\mathbb{R}^d; \mathbb{R}^m)\) ⋮ Weak type \((1,1)\) bounds for Schrödinger groups ⋮ Local Hardy spaces associated with inhomogeneous higher order elliptic operators ⋮ Fourth‐order Schrödinger type operator with unbounded coefficients in L2(ℝN) ⋮ \(L_1\)-estimates for eigenfunctions and heat kernel estimates for semigroups dominated by the free heat semigroup ⋮ Inequalities for lower-order eigenvalues of a fourth-order elliptic operator ⋮ Pseudo-differential operators on fractals and other metric measure spaces ⋮ Variable Hardy spaces associated with operators satisfying Davies–Gaffney estimates on metric measure spaces of homogeneous type ⋮ Characterizations of Hardy spaces associated to higher order elliptic operators ⋮ Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains ⋮ High order divergence-form elliptic operators on Lie groups ⋮ Unnamed Item ⋮ Sharp spectral multipliers for operators satisfying generalized Gaussian estimates ⋮ Heat kernel estimates for fourth order non-uniformly elliptic operators with non strongly convex symbols ⋮ Estimates for weighted eigenvalues of a fourth-order elliptic operator with variable coefficients ⋮ Riesz transforms associated with higher-order Schrödinger type operators ⋮ Hardy spaces of differential forms on Riemannian manifolds ⋮ Properties of centered random walks on locally compact groups and Lie groups ⋮ Limits on \(L^ p\) regularity of self-adjoint elliptic operators ⋮ Bi-Laplacians on graphs and networks ⋮ Unnamed Item ⋮ Schrödinger and polyharmonic operators on infinite graphs: parabolic well-posedness and \(p\)-independence of spectra ⋮ Weak type \((p,p)\) bounds for Schrödinger groups via generalized Gaussian estimates ⋮ Riesz transform on manifolds and heat kernel regularity ⋮ On maximal regularity of type \(L^p-L^q\) under minimal assumptions for elliptic non-divergence operators ⋮ Gaussian bounds for higher-order elliptic differential operators with Kato type potentials ⋮ Generation of the integrated semigroups by superelliptic differential operators ⋮ Tent space well-posedness for parabolic Cauchy problems with rough coefficients ⋮ A class of second-order McKean-Vlasov stochastic evolution equations driven by fractional Brownian motion and Poisson jumps ⋮ The \(L^p\) theory of divergence form elliptic operators under the Dirichlet condition ⋮ Lp-Spectral Multipliers for some Elliptic Systems ⋮ Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients ⋮ Progress in the Problem of the L p -Contractivity of Semigroups for Partial Differential Operators ⋮ The spectra of closed interpolated operators ⋮ Criteria for the \(L^p\)-dissipativity of systems of second order differential equations ⋮ Heat kernels and Besov spaces associated with second order divergence form elliptic operators ⋮ On semigroups generated by sums of even powers of Dunkl operators ⋮ Davies’ method for heat-kernel estimates: An extension to the semi-elliptic setting ⋮ Spectral theory of singular elliptic operators with measurable coefficients ⋮ On off-diagonal decay properties of the generalized Stokes semigroup with bounded measurable coefficients ⋮ Variable Hardy Spaces Associated with Operators Satisfying Davies–Gaffney Estimates ⋮ On the \(\mathrm{L}^p\)-theory for second-order elliptic operators in divergence form with complex coefficients ⋮ Gaussian estimates with best constants for higher-order Schrödinger operators with Kato potentials ⋮ Abstract Second-Order Damped McKean-Vlasov Stochastic Evolution Equations ⋮ Interpolation theorems for self-adjoint operators ⋮ Heat kernel estimates for anomalous heavy-tailed random walks ⋮ Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates ⋮ Positive-Homogeneous Operators, Heat Kernel Estimates and the Legendre-Fenchel Transform ⋮ On the approximation of Finsler metrics on Euclidean domains ⋮ Path regularity for Feller semigroups via Gaussian kernel estimates and generalizations to arbitrary semigroups on \(C_0\) ⋮ Criterion for the \(L^p\)-dissipativity of second order differential operators with complex coefficients ⋮ Observable sets, potentials and Schrödinger equations ⋮ On the \(L_{p}\)-theory of \(C_{0}\)-semigroups associated with second-order elliptic operators. II ⋮ Quadratic sparse domination and weighted estimates for non-integral square functions ⋮ Weighted norm inequalities for spectral multipliers without Gaussian estimates ⋮ Equivalence between regularity theorems and heat kernel estimates for higher-order elliptic operators and systems under divergence form ⋮ Convolution inequalities for Besov and Triebel–Lizorkin spaces, and applications to convolution semigroups ⋮ Generalized Gaussian estimates and riesz means of Schrödinger groups ⋮ \(L^p\)-estimates for the square root of elliptic systems with mixed boundary conditions ⋮ Some remarks on operator-norm convergence of the Trotter product formula on Banach spaces. ⋮ Plancherel-type estimates and sharp spectral multipliers ⋮ Capacity in abstract hilbert spaces and applications to higher order. differential operators ⋮ Stochastic analysis for a non-Markovian generator: an introduction ⋮ Gaussian bounds of fundamental matrix and maximal \(L^1\) regularity for Lamé system with rough coefficients ⋮ Riesz transform characterizations of Hardy spaces associated to degenerate elliptic operators ⋮ The \(L ^{p}\) resolvents of elliptic operators with uniformly continuous coefficients.