On the well-posedness and blow-up for a semilinear biparabolic equation
type: Item
instance of: scholarly article
title: On the well-posedness and blow-up for a semilinear biparabolic equation
zbMATH Open document ID: 1482.35046
author: Vo Van Au
author: Yong Zhou
author: Donal O'Regan
published in: Mediterranean Journal of Mathematics
publication date: 2022-01-27T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35G25
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 7465526
zbMATH Keywords: well-posedness
zbMATH Keywords: nonlinear problem
zbMATH Keywords: biparabolic equation
zbMATH Keywords: blow-up
MaRDI profile type: Publication
full work available at URL: s00009-021-01970-8
OpenAlex ID: W4207034528
cites work: Well-posedness results for a class of semi-linear super-diffusive equations
cites work: Well-posedness results for a class of semilinear time-fractional diffusion equations
cites work: On a class of semilinear nonclassical fractional wave equations with logarithmic nonlinearity
cites work: Well-posedness results and blow-up for a semi-linear time fractional diffusion equation with variable coefficients
cites work: A modified quasi-boundary value method for an abstract ill-posed biparabolic problem
cites work: Fractional differential analog of biparabolic evolution equation and some its applications
cites work: Generalized mathematical model of the dynamics of consolidation processes with relaxation
cites work: On a final value problem for a class of nonlinear hyperbolic equations with damping term
cites work: Asymptotic behaviour of nonlinear parabolic equations with monotone principal part.
cites work: Asymptotic behavior for solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions
cites work: Asymptotic behavior of nonlinear contraction semigroups
cites work: A new mathematical model of heat conduction processes
cites work: Asymptotic behaviour of nonlinear parabolic equations with critical exponents. A dynamical systems approach
cites work: HYPERBOLIC RELAXATION OF THE VISCOUS CAHN–HILLIARD EQUATION IN 3-D
cites work: Geometric theory of semilinear parabolic equations
cites work: Heat waves
cites work: Finite-dimensional attractors for the quasi-linear strongly-damped wave equation
cites work: An iterative regularization method for an abstract ill-posed biparabolic problem
cites work: Bounds for blow-up time in nonlinear parabolic systems
cites work: Q4953888
cites work: Asymptotic stability results for system of quasilinear parabolic equations
cites work: On the strongly damped wave equation
cites work: On a proposed model for heat conduction
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Continuity of solutions of a class of fractional equations
cites work: On the well-posedness of a nonlinear pseudo-parabolic equation
cites work: Approximation of an inverse initial problem for a biparabolic equation
cites work: On the initial and terminal value problem for a class of semilinear strongly material damped plate equations
cites work: Heat Conduction
cites work: Weakly singular Gronwall inequalities and applications to fractional differential equations
cites work: Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
cites work: Asymptotic properties of the solutions of nonlinear non-instantaneous impulsive differential equations
cites work: Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations
cites work: Existence of positive solutions for certain nonlinear partial difference equations
cites work: Q3367524
DOI: 10.1007/S00009-021-01970-8
description: scientific article; zbMATH DE number 7465526