Mediterr. J. Math.

2017

DOI: 10.1007/s00009-017-1050-3

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Bounds for Blow-up Time in Nonlinear Pseudo-parabolic Equations

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半线性伪抛物方程的初边值问题1

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Cited by 5 publications

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“…当考虑有界域上的半线性伪抛物方程的初边值问题时, Xu 和 Su [159] 利用位势井方法研究伪抛物方程的工作引起了很大关注. 在此工作基础上, 人们相继建立了很多利用位势井方法讨论具有源项的伪抛物方程 [59,89,96,98,100,169,170] 、变指标伪抛物方程 [92,113] 及退化、奇异伪抛物方程 [23,91] 解的渐近行为的结果. 文献 [159] 首次通过初始能量的大小来划分如下伪抛物方程初边值问题解的整体存在和爆破:…”

Section: 半线性伪抛物方程的初边值问题unclassified

An overview of recent studies on the pseudo-parabolic equation

Yang,

Jingxue

2024

Sci. Sin.-Math.

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In this paper, we give an overview of the recent developments in the area of pseudo-parabolic equations, including the physical background, and the study from the perspective of viscosity. A significant part of the paper is devoted to the asymptotic behavior of the solutions for semi-linear pseudo-parabolic equations, which is an in-depth research field at present.

“…当考虑有界域上的半线性伪抛物方程的初边值问题时, Xu 和 Su [159] 利用位势井方法研究伪抛物方程的工作引起了很大关注. 在此工作基础上, 人们相继建立了很多利用位势井方法讨论具有源项的伪抛物方程 [59,89,96,98,100,169,170] 、变指标伪抛物方程 [92,113] 及退化、奇异伪抛物方程 [23,91] 解的渐近行为的结果. 文献 [159] 首次通过初始能量的大小来划分如下伪抛物方程初边值问题解的整体存在和爆破:…”

Section: 半线性伪抛物方程的初边值问题unclassified

An overview of recent studies on the pseudo-parabolic equation

Yang,

Jingxue

2024

Sci. Sin.-Math.

View full text Add to dashboard Cite

In this paper, we give an overview of the recent developments in the area of pseudo-parabolic equations, including the physical background, and the study from the perspective of viscosity. A significant part of the paper is devoted to the asymptotic behavior of the solutions for semi-linear pseudo-parabolic equations, which is an in-depth research field at present.

New instability, blow-up and break-down effects for Sobolev-type evolution PDE: asymptotic analysis for a celebrated pseudo-parabolic model on the quarter-plane

Chatziafratis,

Ozawa

2024

Partial Differ. Equ. Appl.

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No abstract

Solvability of Pseudoparabolic Equations with Non-Linear Boundary Condition

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²

2020

Lobachevskii J Math

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No abstract

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