Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds
From MaRDI portal
Publication:6064304
DOI10.1515/anona-2023-0117zbMath1529.35049OpenAlexW4389103666MaRDI QIDQ6064304
No author found.
Publication date: 12 December 2023
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2023-0117
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Semilinear parabolic equations (35K58) PDEs on manifolds (35R01)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis on singular spaces: Lie manifolds and operator algebras
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Analytic torsion on manifolds with edges
- Asymptotic stability and blow-up of solutions for semi-linear edge-degenerate parabolic equations with singular potentials
- Dirichlet problem for semilinear edge-degenerate elliptic equations with singular potential term
- Propagation of singularities for the wave equation on edge manifolds
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Geometric theory of semilinear parabolic equations
- Saddle points and instability of nonlinear hyperbolic equations
- Global existence and blow-up of solutions for infinitely degenerate semilinear pseudo-parabolic equations with logarithmic nonlinearity
- The index of operators on foliated bundles
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity
- Global existence and non-existence analyses for a semilinear edge degenerate parabolic equation with singular potential term
- Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
- Ellipticity of quantum mechanical Hamiltonians in the edge algebra
- Dual variational methods in critical point theory and applications
- Global well-posedness of coupled parabolic systems
- Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Geometry of pseudodifferential algebra bundles and Fourier integral operators
- Global existence to the initial-boundary value problem for a system of nonlinear diffusion and wave equations
- Bounded imaginary powers of cone differential operators on higher order Mellin-Sobolev spaces and applications to the Cahn-Hilliard equation
- Pseudo-differential operators on manifolds with a Lie structure at infinity
- On global solution of nonlinear hyperbolic equations
- Global existence for a semilinear parabolic Volterra equation
- Parabolic Equations on Uniformly Regular Riemannian Manifolds and Degenerate Initial Boundary Value Problems
- The Cahn-Hilliard Equation and the Allen-Cahn Equation on Manifolds with Conical Singularities
- Critical exponents for a semilinear parabolic equation with variable reaction
- Boundary-value problems for partial differential equations in non-smooth domains
- Uniformly Regular and Singular Riemannian Manifolds
- Variational Methods for Nonlocal Fractional Problems
- Elliptic theory of differential edge operators I
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Green pseudodifferential operators on manifolds with edges
- Existence and blow-up for higher-order semilinear parabolic equations: Majorizing order-preserving operators
- Sobolev met Poincaré
- Nonlinear Analysis - Theory and Methods
- Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
- Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds
- Global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem
- Elliptic theory of differential edge operators II: boundary value problems
- Mapping properties of the heat operator on edge manifolds
- Partial Differential Equations with Variable Exponents
- Existence Theorems for a Class of Edge-Degenerate Elliptic Equations on Singular Manifolds
- A topological index theorem for manifolds with corners
- Yamabe flow on manifolds with edges
- Kähler-Einstein metrics with edge singularities
- High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities
This page was built for publication: Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds
