Decay of the mass of the solution to the Cauchy problem of the degenerate parabolic equation with nonlinear potential

DOI10.1080/17476933.2017.1286331zbMath1391.35062OpenAlexW2587610757MaRDI QIDQ5374176

Igor I. Skrypnik, Anatolii F. Tedeev

Publication date: 9 April 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2017.1286331

zbMATH Keywords

local behaviourWolf potential

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

Related Items (2)

Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations ⋮ The Decay Rate of the Solution to the Cauchy Problem for Doubly Nonlinear Parabolic Equation with Absortion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Degenerate parabolic equations
• Large time behavior of solutions to a class of doubly nonlinear parabolic equations.
• Classification of singular solutions of a nonlinear heat equation
• On the Wiener test for degenerate parabolic equations with non-standard growth condition
• Harnack inequality and continuity of solutions to quasi-linear degenerate parabolic equations with coefficients from Kato-type classes
• Existence results for doubly nonlinear higher order parabolic equations on unbounded domains
• Differentiation of integrals in \(\mathbb{R}^n\)
• The Wiener test and potential estimates for quasilinear elliptic equations
• On solutions of some doubly nonlinear degenerate parabolic equations with absorption
• Gradient estimates for a degenerate parabolic equation with gradient absorption and applications
• The Cauchy problem for a quasilinear parabolic equation with a gradient sink
• Asymptotic behavior for a viscous Hamilton-Jacobi equation with critical exponent
• Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption
• Brownian motion and harnack inequality for Schrödinger operators
• Global existence and decay for a nonlinear parabolic equation
• Decay of mass for a semilinear parabolic equation
• Global existence and decay for viscous Hamilton-Jacobi equations
• Global solutions to viscous hamilton-jacob1 equations with irregular initial data
• Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
• Sharp estimates and finite speed of propagation for a Neumann problem in domains narrowing at infinity

This page was built for publication: Decay of the mass of the solution to the Cauchy problem of the degenerate parabolic equation with nonlinear potential