Attractors met \(X\)-elliptic operators

DOI10.1016/j.jmaa.2014.05.070zbMath1295.35115OpenAlexW2042568982MaRDI QIDQ2252080

Stefanie Sonner, Alessia Elisabetta Kogoj

Publication date: 16 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.05.070

zbMATH Keywords

global attractorsgradient semigroupssemilinear degenerate hyperbolic equationssemilinear degenerate parabolic equationssubcritical growth restrictions

Mathematics Subject Classification ID

Attractors (35B41) Subelliptic equations (35H20)

Related Items

Unnamed Item, Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator, Large-time behavior of solutions to degenerate damped hyperbolic equations, Global attractor for degenerate damped hyperbolic equations, Attractors for a class of semi-linear degenerate parabolic equations with critical exponent, Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups, Semilinear strongly degenerate parabolic equations with a new class of nonlinearities, Wong–Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spaces, Infinitely many solutions for Kirchhoff-type equations involving degenerate operator, Results on the existence and multiplicity of solutions for a class of sublinear degenerate Schrödinger equations in \(\mathbb{R}^N\), Well-posedness and longtime dynamics for the finitely degenerate parabolic and pseudo-parabolic equations, Dynamics for a stochastic degenerate parabolic equation, Wiener criterion for \(X\)-elliptic operators, Unnamed Item, Hardy type inequalities for Δ_λ-Laplacians, Pullback attractors for a critical degenerate wave equation with time-dependent damping, Unnamed Item, On the regularity of vector fields underlying a degenerate-elliptic PDE

Cites Work

• Unnamed Item
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• Long time behavior of solutions to semilinear parabolic equations involving strongly degenerate elliptic differential operators
• Attractors for a class of semi-linear degenerate parabolic equations
• A control condition for a weak Harnack inequality
• On semilinear \(\mathbf \Delta_\lambda\)-Laplace equation
• Analyse sur les groupes de Lie à croissance polynômiale. (Analysis on Lie groups of polynomial growth)
• Opérateurs uniformément sous-elliptiques sur les groupes de Lie. (Uniformly sub-elliptic operators on Lie groups)
• Liouville theorem for \(X\)-elliptic operators
• Semigroups of linear operators and applications to partial differential equations
• Balls and metrics defined by vector fields. I: Basic properties
• Geometric theory of semilinear parabolic equations
• \(C^\infty\) regularity of solutions of the Levi equation
• Harmonic functions on manifolds
• Infinite-dimensional dynamical systems in mechanics and physics.
• Liouville theorems for Fuchsian-type operators on the Heisenberg group
• On the Poincaré inequality for vector fields
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• On abstract parabolic fundamental solutions
• \(X\)-elliptic operators and \(X\)-control distances
• Balls defined by nonsmooth vector fields and the Poincaré inequality.
• Pullback exponential attractors for evolution processes in Banach spaces: theoretical results
• Pullback exponential attractors for evolution processes in Banach spaces: properties and applications
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• An embedding theorem for sobolev spaces related to non-smooth vector fieldsand harnack inequality
• Maximum Principle, Nonhomogeneous Harnack Inequality, and Liouville Theorems forX-Elliptic Operators
• Sobolev met Poincaré
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems