A Differential Harnack Inequality for the Newell-Whitehead-Segel Equation

Booth, Derek

doi:10.4208/ata.oa-0005

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

2023

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is used to model the change of concentration of a substance. The reader may refer to [2] for the recent results for such equation.…”

Section: Introductionmentioning

confidence: 99%

Gradient Estimates for the Nonlinear Parabolic Equation with Two Exponents on Riemannian Manifolds

Hou¹

2020

Taiwanese J. Math.

View full text Add to dashboard Cite

In this paper, we study the nonlinear parabolic equation with two exponents on complete noncompact Riemannian maniflods. The special types of such equation include the Fisher-KPP equation, the parabolic Allen-Cahn equation and the Newell-Whitehead equation. We get the Souplet-Zhang's gradient estimates for the positive solutions to such equation. We also obtain the Liouville theorem for positive ancient solutions. Our results extend those of Souplet-Zhang (Bull.

show abstract

“…It is used to model the change of concentration of a substance. The reader may refer to [2] for the recent results for such equation.…”

Section: Introductionmentioning

confidence: 99%

Gradient Estimates for the Nonlinear Parabolic Equation with Two Exponents on Riemannian Manifolds

Hou¹

2020

Taiwanese J. Math.

View full text Add to dashboard Cite

show abstract

Gradient estimates of a parabolic equation under the Finsler-geometric flow

Azami

2022

Int. J. Geom. Methods Mod. Phys.

View full text Add to dashboard Cite

Let [Formula: see text], [Formula: see text], be a compact Finsler manifold. In this paper, we consider a Finsler manifold evolving by the Finsler-geometric flow [Formula: see text], where [Formula: see text] is the symmetric metric tensor associated with [Formula: see text], and [Formula: see text] is a symmetric [Formula: see text]-tensor, and the study parabolic equation [Formula: see text] where [Formula: see text] is a function on [Formula: see text] of [Formula: see text] in [Formula: see text]-variables and [Formula: see text] in [Formula: see text]-variable and [Formula: see text] is a function of [Formula: see text] in [Formula: see text]. We obtain a global estimate and a Harnack estimate for positive solutions. Our results are also natural extension of similar results on Riemannian-geometric flow.

show abstract

Differential Harnack inequality for the Newell–Whitehead–Segel equation under Finsler-geometric flow

Azami

2023

Int. J. Geom. Methods Mod. Phys.

View full text Add to dashboard Cite

show abstract

A Differential Harnack Inequality for the Newell-Whitehead-Segel Equation

Cited by 3 publications

References 6 publications

Gradient Estimates for the Nonlinear Parabolic Equation with Two Exponents on Riemannian Manifolds

Gradient Estimates for the Nonlinear Parabolic Equation with Two Exponents on Riemannian Manifolds

Gradient estimates of a parabolic equation under the Finsler-geometric flow

Differential Harnack inequality for the Newell–Whitehead–Segel equation under Finsler-geometric flow

Contact Info

Product

Resources

About