Hardy inequalities for functions vanishing at negligible sets and its applications

DOI10.1080/00036811.2014.1001381zbMath1336.35018OpenAlexW2069908348WikidataQ58179021 ScholiaQ58179021MaRDI QIDQ2795459

Shuji Watanabe, Motohiro Sobajima

Publication date: 21 March 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.1001381

zbMATH Keywords

spherical harmonicsbest constantsFriedrichs' extension

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Schrödinger operator, Schrödinger equation (35J10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method ⋮ Scale invariant elliptic operators with singular coefficients

Cites Work

• On the best constants of Hardy inequality in \(\mathbb{R}^{n-k}\times(\mathbb{R}_+)^k\) and related improvements
• On the structure of Hardy-Sobolev-Maz'ya inequalities
• The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
• THE EXPLICIT SOLUTIONS TO THE TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH THE SINGULAR POTENTIALS AND
• An embedding theorem of Sobolev type for an operator with singularity
• The Motion of a Quantum Mechanical Particle Under the Inverse Square Potential
• Unnamed Item

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