Blow-up theorems for \(p\)-sub-Laplacian heat operators on stratified groups

DOI10.1007/S11785-022-01235-6zbMath1498.35180OpenAlexW4296299098WikidataQ115230382 ScholiaQ115230382MaRDI QIDQ2080182

Gulaiym Oralsyn, Bolys Sabitbek

Publication date: 7 October 2022

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-022-01235-6

zbMATH Keywords

blow-upPoincaré inequalitystratified group\(p\)-sub-Laplacian

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

• Blow-up and global solutions for a class of nonlinear reaction diffusion equations under Dirichlet boundary conditions
• On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and \(p\)-sub-Laplacian inequalities on stratified groups
• Blowup in diffusion equations: A survey
• A new condition for the concavity method of blow-up solutions to \(p\)-Laplacian parabolic equations
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
• Hardy inequalities on homogeneous groups. 100 years of Hardy inequalities
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• An embedding theorem and the harnack inequality for nonlinear subelliptic equations
• Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems

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