Functional inequalities and applications to doubly nonlinear diffusion equations
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Publication:6130554
DOI10.1515/acv-2022-0021arXiv2109.14255OpenAlexW3202232621MaRDI QIDQ6130554
Iwona Skrzypczak, Nikita Simonov
Publication date: 3 April 2024
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.14255
Asymptotic behavior of solutions to PDEs (35B40) Inequalities for sums, series and integrals (26D15) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
- Harnack type inequalities for some doubly nonlinear singular parabolic equations
- Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime
- Bessel pairs and optimal Hardy and Hardy-Rellich inequalities
- Fast diffusion equations: matching large time asymptotics by relative entropy methods
- Degenerate parabolic equations
- Doubly nonlinear equations of porous medium type
- Hardy inequalities on Riemannian manifolds and applications
- Potential theory and optimal convergence rates in fast nonlinear diffusion
- Hardy-Poincaré inequalities and applications to nonlinear diffusions
- Modified logarithmic Sobolev inequalities on \(\mathbb{R}\)
- When does allow the Hardy inequality to calculate an exact Poincaré constant on a line?
- Special fast diffusion with slow asymptotics: Entropy method and flow on a Riemannian manifold
- Asymptotics of the fast diffusion equation via entropy estimates
- Hardy inequalities and some critical elliptic and parabolic problems
- Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
- Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
- Asymptotic behavior for doubly degenerate parabolic equations
- Asymptotic behavior of nonlinear diffusions
- The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
- Nonlinear diffusions and optimal constants in Sobolev type inequalities: Asymptotic behaviour of equations involving the \(p\)-Laplacian
- Fast diffusion to self-similarity: Complete spectrum, long-time asymptotics, and numerology
- First eigenvalue for the \(p\)-Laplace operator
- Harnack and pointwise estimates for degenerate or singular parabolic equations
- Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results
- The Cauchy problem for the fast \(p\)-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour
- An extensive study of the regularity of solutions to doubly singular equations
- Regularity results for a class of doubly nonlinear very singular parabolic equations
- Existence to nonlinear parabolic problems with unbounded weights
- Improved interpolation inequalities, relative entropy and fast diffusion equations
- Rates of decay to equilibria for \(p\)-Laplacian type equations
- Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory
- Regularity properties of flows through porous media: The interface
- Hardy-type inequalities derived from \(p\)-harmonic problems
- The obstacle problem for singular doubly nonlinear equations of porous medium type
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- On a Variant of the Gagliardo–Nirenberg Inequality Deduced from the Hardy Inequality
- Poincaré inequalities for linearizations of very fast diffusion equations
- The Heat Equation with a Singular Potential
- Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
- Sobolev Interpolation Inequalities with Weights
- On Weighted Sobolev Interpolation Inequalities
- Hardy inequalities related to Grushin type operators
- A unified approach to improved $L^p$ Hardy inequalities with best constants
- Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity
- The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion
- Fine Asymptotics for Fast Diffusion Equations
- On the Existence of Solutions of the Cauchy Problem for a Doubly Nonlinear Parabolic Equation
- Functional Inequalities: New Perspectives and New Applications
- Hardy–Poincaré type inequalities derived from p-harmonic problems
- Higher-order time asymptotics of fast diffusion in Euclidean space: A dynamical systems approach
- Second-order asymptotics for the fast-diffusion equation
- Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.
- Hardy's inequality with weights
- Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
- Cauchy problem and initial trace for a doubly degenerate parabolic equation with strongly nonlinear sources
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