Slow convergence to zero for a parabolic equation with a supercritical nonlinearity

Марек Фила, Michael Winkler, Eiji Yanagida

Type: Article

Publication Date: 2007-11-23

Citations: 22

DOI: https://doi.org/10.1007/s00208-007-0148-5

View Publication

Locations

Mathematische Annalen - View

Similar Works

Action	Title	Year	Authors
+	Convergence Rate for a Parabolic Equation with Supercritical Nonlinearity	2005	Марек Фила Michael Winkler Eiji Yanagida
+	Sharp estimates of the convergence rate for a semilinear parabolic equation with supercritical nonlinearity	2007	Masaki Hoshino Eiji Yanagida
+	Rates of convergence to zero for a semilinear parabolic equation with a critical exponent	2010	Christian Stinner
+ PDF Chat	Asymptotics for a parabolic equation with critical exponential nonlinearity	2020	Michinori Ishiwata Bernhard Ruf Federica Sani Elide Terraneo
+	Convergence rate for a semilinear parabolic equation with power nonlinearity	2009	真樹星野
+	Convergence rate for a semilinear parabolic equation with a singular nonlinearity	2009	Masaki Hoshino
+	Slow decay of solutions in a semilinear dissipative parabolic equation	1999	Noriko Mizoguchi
+	Asymptotic behaviour of a nonlinear parabolic equations	1993	Silvère Paul Nuiro
+	On the behavior of solutions for a semilinear parabolic equation with supercritical nonlinearity	2002	Noriko Mizoguchi
+	Blow up for a nonlinear degenerate parabolic equation	1990	Марек Фила Ján Filo
+	Nonlinear elliptic equations with large supercritical exponents	2006	Riccardo Molle Donato Passaseo
+ PDF Chat	Correction to: Approaching Critical Decay in a Strongly Degenerate Parabolic Equation	2021	Michael Winkler
+	Universal decay in nonlinear parabolic equations	1988	Paul Sacks
+	Blowup behavior for a nonlinear parabolic equation of nondivergence form	2005	Jong‐Shenq Guo Bei Hu
+	Rate of convergence to a singular steady state of a supercritical parabolic equation	2008	Марек Фила Michael Winkler
+	Blow-up in a degenerate parabolic equation with gradient nonlinearity	2008	Christian Stinner Michael Wiegner
+	The Convergence of a Non-Linear Parabolic Partial Differential Equation	1967	Edwin Anthony Rejda
+ PDF Chat	Convergence of Solutions of Parabolic Equations to a Steady State	1959	Avner Friedman
+	Global existence and decay for a nonlinear parabolic equation	1992	Matania Ben–Artzi
+	Behavior of solutions to nonlinear parabolic equations at large time	1995	Mikhail Vishnevskii T. I. Zelenyak М. М. Лаврентьев

Works That Cite This (22)

Action	Title	Year	Authors
+ PDF Chat	Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation	2012	Марек Фила Juan Luís Vázquez Michael Winkler Eiji Yanagida
+	Linear behaviour of solutions of a superlinear heat equation	2007	Марек Фила John R. King Michael Winkler Eiji Yanagida
+	Refined asymptotics for entire solutions of a biharmonic equation with a supercritical nonlinearity	2010	Michael Winkler
+ PDF Chat	Very slow grow-up of solutions of a semi-linear parabolic equation	2011	Марек Фила John R. King Michael Winkler Eiji Yanagida
+ PDF Chat	Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations	2016	Yasuhito Miyamoto
+ PDF Chat	Very slow convergence rates in a semilinear parabolic equation	2009	Christian Stinner
+	The convergence rate for a semilinear parabolic equation with a critical exponent	2010	Christian Stinner
+	Nonlocal Problems	2007
+	Exact convergence rate of solutions for a semilinear heat equation with a critical and a supercritical exponent revisited	2024	Masaki Hoshino
+ PDF Chat	Around a singular solution of a nonlocal nonlinear heat equation	2019	Piotr Biler Dominika Pilarczyk

Works Cited by This (15)

Action	Title	Year	Authors
+ PDF Chat	Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations	2007	Peter Poláčik Pavol Quíttner Philippe Souplet
+	Asymptotic behavior of positive solutions of equation Δu + K(x) u = 0 in	1992	Yi Li
+	Convergence Rate for a Parabolic Equation with Supercritical Nonlinearity	2005	Марек Фила Michael Winkler Eiji Yanagida
+	On bounded and unbounded global solutions of a supercritical semilinear heat equation	2003	Peter Polá č ik Eiji Yanagida
+ PDF Chat	Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem	1992	Tzong-Yow Lee Wei‐Ming Ni
+	Grow-up rate of solutions for a supercritical semilinear diffusion equation	2004	Марек Фила Michael Winkler Eiji Yanagida
+	Further Study on a Nonlinear Heat Equation	2001	Changfeng Gui Wei-Ming Ni Xuefeng Wang
+	A Liouville property and quasiconvergence for a semilinear heat equation	2004	Peter Poláčik Eiji Yanagida
+	Optimal lower bound of the grow-up rate for a supercritical parabolic equation	2006	Марек Фила John R. King Michael Winkler Eiji Yanagida
+	On the stability and instability of positive steady states of a semilinear heat equation in ℝ<sup><i>n</i></sup>	1992	Changfeng Gui Wei‐Ming Ni Xuefeng Wang