The Hardy inequality and the heat flow in curved wedges

DOI10.4171/PM/1978zbMath1339.35136arXiv1507.03627MaRDI QIDQ283249

David Krejčiřík

Publication date: 13 May 2016

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03627

zbMATH Keywords

heat equationBrownian motionlarge-time behaviourDirichlet LaplacianHardy inequalityconical singularitiessubcriticalitycurved wedges

Mathematics Subject Classification ID

Brownian motion (60J65) Estimates of eigenvalues in context of PDEs (35P15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Heat equation (35K05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (3)

The Hardy inequality and large time behaviour of the heat equation on \(\mathbb{R}^{N - k} \times ( 0 , \infty )^k\) ⋮ Spectral analysis of sheared nanoribbons ⋮ The asymptotic behaviour of the heat equation in a sheared unbounded strip

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