Spectral analysis of the hypoelliptic Robin problem

DOI10.1007/s11565-018-0308-4zbMath1420.35088OpenAlexW2886961610MaRDI QIDQ2000601

Kazuaki Taira

Publication date: 28 June 2019

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://tsukuba.repo.nii.ac.jp/record/49772/files/Ferrara_65.pdf

zbMATH Keywords

Boutet de Monvel calculusRobin problemhypoelliptic operatorasymptotic eigenvalue distributionnon self-adjoint eigenvalue problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items

Spectral analysis of hypoelliptic Višik-Ventcel' boundary value problems ⋮ Semilinear degenerate elliptic boundary value problems via the Semenov approximation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Functional calculus of pseudo-differential boundary problems
• A family of Fourier integral operators and the fundamental solution for a Schrödinger equation
• A global calculus of parameter-dependent pseudodifferential boundary problems in \(L_ p\) Sobolev spaces
• Elliptic partial differential equations of second order
• Spectral analysis of the subelliptic oblique derivative problem
• The asymptotic expansion of the fundamental solution for parabolic initial-boundary value problems and its application
• Bounded \(H^\infty \)-calculus for a degenerate elliptic boundary value problem
• Boundary problems for pseudo-differential operators
• On some dissipative boundary value problems for the Laplacian
• An asymptotic expansion for the heat equation
• Analytic Semigroups and Semilinear Initial Boundary Value Problems
• L^p-Estimates for certain non-regular eudo-differential operators.
• Hypoellipticity of Certain Degenerate Elliptic Boundary Value Problems
• Semigroups, Boundary Value Problems and Markov Processes
• Elementary Differential Topology. (AM-54)
• Singular Integrals and Boundary Value Problems