The critical exponent of a reaction diffusion equation on some Lie groups

DOI10.1007/PL00004602zbMath0909.35072OpenAlexW2011824389WikidataQ115390581 ScholiaQ115390581MaRDI QIDQ1127652

Qi S. Zhang

Publication date: 30 March 1999

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004602

zbMATH Keywords

blow-upsemilinear parabolic equationHeisenberg vector fieldspolynomial Lie group

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (12)

Existence and nonexistence of global solutions of higher-order parabolic problems with slow decay initial data ⋮ Global existence and asymptotic behavior of solutions to a semilinear parabolic equation on Carnot groups ⋮ Nonexistence results for pseudo-parabolic equations in the Heisenberg group ⋮ Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay ⋮ Second critical exponent for a higher-order semilinear parabolic system ⋮ Non-existence results for \(p \)-Laplacian parabolic problems on the Heisenberg group \(\mathbb{H}^n \) ⋮ Nonexistence of solutions of some non-linear non-local evolution systems on the Heisenberg group ⋮ Fujita-type results for the degenerate parabolic equations on the Heisenberg groups ⋮ Nonlinear parabolic problems on manifolds, and a nonexistence result for the noncompact Yamabe problem ⋮ Nonexistence results for higher order pseudo-parabolic equations in the Heisenberg group ⋮ The quantizing effect of potentials on the critical number of reaction-diffusion equations ⋮ Nonexistence results for a class of evolution equations in the Heisenberg group

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