Existence of solutions of degenerate parabolic equations with inhomogeneous density and growing data on manifolds

DOI10.1016/j.na.2022.112818zbMath1486.35275OpenAlexW4213205009MaRDI QIDQ2119415

Daniele Andreucci, Anatolii F. Tedeev

Publication date: 29 March 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2022.112818

zbMATH Keywords

optimal growthdoubly degenerate parabolic equationnoncompact Riemannian manifoldinhomogeneous density

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59) PDEs on manifolds (35R01)

Related Items (2)

Weak solution of non-Newtonian polytropic variational inequality in fresh agricultural product supply chain problem ⋮ Qualitative Properties of Solutions of Degenerate Parabolic Equations via Energy Approaches

Cites Work

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• Asymptotic behavior for the heat equation in nonhomogeneous media with critical density
• Uniqueness and support properties of solutions to singular quasilinear parabolic equations on surfaces of revolution
• Support properties of solutions to nonlinear parabolic equations with variable density in the hyperbolic space
• Fundamental solution and long time behavior of the porous medium equation in hyperbolic space
• A new approach to initial traces in nonlinear filtration
• Smoothing effects for the porous medium equation on Cartan-Hadamard manifolds
• Long time behavior for the inhomogeneous PME in a medium with slowly decaying density
• Disappearance of interfaces in finite time
• The porous medium equation with large initial data on negatively curved Riemannian manifolds
• Asymptotic behavior of the solutions of the inhomogeneous porous medium equation with critical vanishing density
• Asymptotic properties of solutions to the Cauchy problem for degenerate parabolic equations with inhomogeneous density on manifolds
• Long time behavior for the inhomogeneous PME in a medium with rapidly decaying density
• On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
• Propagation of thermal waves in an inhomogeneous medium
• Non-linear diffusion in a finite mass medium
• Some remarks on the Sobolev inequality in Riemannian manifolds
• Cauchy problem for a quasilinear parabolic equation with a source term and an inhomogeneous density
• The interface blow-up phenomenon and local estimates for doubly degenerate parabolic equations
• Sharp estimates and finite speed of propagation for a Neumann problem in domains narrowing at infinity

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