A Liouville theorem for superlinear heat equations on Riemannian manifolds
From MaRDI portal
Publication:2283071
DOI10.1007/S00032-019-00304-4zbMath1427.35112arXiv1811.05146OpenAlexW2982609339WikidataQ115389313 ScholiaQ115389313MaRDI QIDQ2283071
Daniele Castorina, Berardino Sciunzi, Carlo Mantegazza
Publication date: 27 December 2019
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.05146
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Heat equation (35K05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the distributional Hessian of the distance function
- Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds
- Ancient solutions of semilinear heat equations on Riemannian manifolds
- Towards a unified approach to nonexistence of solutions for a class of differential inequalities
- Interior estimates for hypersurfaces moving by mean curvature
- On the parabolic kernel of the Schrödinger operator
- Four-manifolds with positive curvature operator
- A new critical phenomenon for semilinear parabolic problems
- Nonexistence of local solutions to semilinear partial differential inequalities
- Blow-up results for nonlinear parabolic equations on manifolds
- SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
- Asymptotically self‐similar blow‐up of semilinear heat equations
- User’s guide to viscosity solutions of second order partial differential equations
- A general approach to critical Fujita exponents in nonlinear parabolic problems
- Blow-up for quasilinear heat equations with critical Fujita's exponents
- Ancient solutions of superlinear heat equations on Riemannian manifolds
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations
- Riemannian Geometry
This page was built for publication: A Liouville theorem for superlinear heat equations on Riemannian manifolds
