Global existence and decay estimates of energy of solutions for a new class of \(p\)-Laplacian heat equations with logarithmic nonlinearity

DOI10.1155/2021/5558818zbMath1464.35151OpenAlexW3137337717MaRDI QIDQ830126

Abderrahmane Zara, Salah Mahmoud Boulaaras, Mohamed Abdalla, Bahri-Belkacem Cheri, Abdelbaki Choucha

Publication date: 7 May 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5558818

zbMATH Keywords

logarithmic source term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items

Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition, Soft \(\alpha \)-separation axioms and \(\alpha \)-fixed soft points, Analytic simulation for magnetohydrodynamic unsteady Buongiorno model hybrid nanofluid flow over stretching, Blow-up results for a class of quasilinear parabolic equation with power nonlinearity and nonlocal source, Well-posedness and stability result of the nonlinear thermodiffusion full von Kármán beam with thermal effect and time-varying delay, On the porous-elastic system with thermoelasticity of type III and distributed delay: well-posedness and stability, Asymptotic behavior of solutions to free boundary problem with Tresca boundary conditions, Analytical properties of the generalized heat matrix polynomials associated with fractional calculus, Unsteady electrohydrodynamic stagnation point flow of hybrid nanofluid past a convective heated stretch/shrink sheet, Existence of least-energy sign-changing solutions for the Schrödinger-Bopp-Podolsky system with critical growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms
• Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
• The Cauchy problem for heat equations with exponential nonlinearity
• \(L^{\infty }\)-asymptotic behavior for a finite element approximation in parabolic quasi-variational inequalities related to impulse control problem
• Saddle points and instability of nonlinear hyperbolic equations
• Nonlinear diffusions and optimal constants in Sobolev type inequalities: Asymptotic behaviour of equations involving the \(p\)-Laplacian
• Asymptotic behavior for a class of logarithmic wave equations with linear damping
• Semilinear parabolic equations with prescribed energy
• The finite element approximation of evolutionary Hamilton-Jacobi-Bellman equations with nonlinear source terms
• Blow-up versus extinction in a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
• Blow-up and non-extinction for a nonlocal parabolic equation with logarithmic nonlinearity
• A sequence of radially symmetric weak solutions for some nonlocal elliptic problem in \(\mathbb{R}^N\)
• A new \((3+1)\)-dimensional Hirota bilinear equation: its Bäcklund transformation and rational-type solutions
• Existence of solution for a class of heat equation involving the \(p(x)\) Laplacian with triple regime
• A new result for a blow-up of solutions to a logarithmic flexible structure with second sound
• Polynomial decay rate for Kirchhoff type in viscoelasticity with logarithmic nonlinearity and not necessarily decreasing kernel
• Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients
• Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Global solution and blow-up for a class of pseudo \(p\)-Laplacian evolution equations with logarithmic nonlinearity
• On a theory of heat conduction involving two temperature
• Uniform decay rate estimates for a class of quasi-linear hyperbolic equations with non-linear damping and source terms
• The equation of the $ p$-adic open string for the scalar tachyon field
• Équations d'évolution avec non linéarité logarithmique
• GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A LOGARITHMIC WAVE EQUATION ARISING FROM Q-BALL DYNAMICS
• Qualitative analysis of solutions for the p‐Laplacian hyperbolic equation with logarithmic nonlinearity
• General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms
• SOLVABILITY OF THE MOORE–GIBSON–THOMPSON EQUATION WITH VISCOELASTIC MEMORY TERM AND INTEGRAL CONDITION VIA GALERKIN METHOD
• Blow up of solutions for a nonlinear viscoelastic system with general source term
• Further results of existence of positive solutions of elliptic Kirchhoff equation with general nonlinearity of source terms