Mixed local and nonlocal parabolic equation: global existence, decay and blow-up
From MaRDI portal
Publication:6584845
DOI10.3934/DCDSS.2024010zbMATH Open1544.35033MaRDI QIDQ6584845
Publication date: 8 August 2024
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
blow-upparabolic equationGalerkin solutionmodified potential well methodmixed local and nonlocal operator
Could not fetch data.
Cites Work
- Lipschitz regularity of solutions for mixed integro-differential equations
- Hitchhiker's guide to the fractional Sobolev spaces
- Viscosity solutions for a system of integro-PDEs and connections to optimal switching and control of jump-diffusion processes
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Saddle points and instability of nonlinear hyperbolic equations
- The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
- Blowup and blowup time for a class of semilinear pseudo-parabolic equations with high initial energy
- A class of fourth-order parabolic equation with arbitrary initial energy
- Mathematical models for nonlocal elastic composite materials
- On distributional solutions of local and nonlocal problems of porous medium type
- Continuous dependence estimates for viscosity solutions of integro-PDEs
- On the strong maximum principle for second order nonlinear parabolic integro-differential equations
- Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system
- Decay estimates for evolutionary equations with fractional time-diffusion
- A limiting problem for local/non-local \(p\)-Laplacians with concave-convex nonlinearities
- Description of an ecological niche for a mixed local/nonlocal dispersal: an evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes
- The Bernstein technique for integro-differential equations
- Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
- Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
- Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations
- Global well-posedness of coupled parabolic systems
- Global existence and asymptotic behavior for a fractional differential equation
- Degenerate Kirchhoff-type diffusion problems involving the fractional \(p\)-Laplacian
- A ``maximum principle for semicontinuous functions applicable to integro-partial differential equations
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- On global solution of nonlinear hyperbolic equations
- GLOBAL SOLUTION AND BLOWUP OF SEMILINEAR HEAT EQUATION WITH CRITICAL SOBOLEV EXPONENT
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- On solutions of space-fractional diffusion equations by means of potential wells
- An Elliptic Boundary Value Problem with Fractional Nonlinearity
- Mixed local and nonlocal elliptic operators: regularity and maximum principles
- Global existence and blow-up for semilinear parabolic equation with critical exponent in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mstyle mathvariant="double-struck"> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> </mml:mstyle> <mml:mi>N</mml:mi> </mml:msup> </mml:math>
- A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as p → ∞
- Linear theory for a mixed operator with Neumann conditions
- Asymptotic analysis for a pseudo-parabolic equation with nonstandard growth conditions
- Semilinear elliptic equations involving mixed local and nonlocal operators
- Nonexistence Results for Nonlocal Equations with Critical and Supercritical Nonlinearities
- Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE
- An Extension Problem Related to the Fractional Laplacian
- Global existence and blow-up phenomenon for a quasilinear viscoelastic equation with strong damping and source terms
- Semilinear parabolic equations involving critical Sobolev exponent: Local and asymptotic behavior of solutions
- (Non)local logistic equations with Neumann conditions
- Global existence and finite time blow-up for the \(m\)-Laplacian parabolic problem
- A Faber-Krahn inequality for mixed local and nonlocal operators
- Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions
- Global dynamical behavior of solutions for finite degenerate fourth-order parabolic equations with mean curvature nonlinearity
This page was built for publication: Mixed local and nonlocal parabolic equation: global existence, decay and blow-up
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6584845)