FRACTIONAL ORDER SOBOLEV SPACES FOR THE NEUMANN LAPLACIAN AND THE VECTOR LAPLACIAN

DOI10.4134/JKMS.j190351zbMath1453.46030OpenAlexW3033932505MaRDI QIDQ5108992

Seungil Kim

Publication date: 7 May 2020

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=DBSHBB&py=2020&vnc=v57n3&sp=721

zbMATH Keywords

interpolationwaveguidefractional Sobolev spaceNeumann Laplacianvector Laplacian

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70)

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Cites Work

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• Unnamed Item
• Optimized double sweep Schwarz method by complete radiation boundary conditions
• Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides
• Analysis of the convected Helmholtz equation with a uniform mean flow in a waveguide with complete radiation boundary conditions
• Analysis of the non-reflecting boundary condition for the time-harmonic electromagnetic wave propagation in waveguides
• Caractérisation de quelques espaces d'interpolation
• Finite Element Methods for Navier-Stokes Equations
• Non-reflecting boundary conditions for waveguides
• Interpolation of Boundary Value Problems of Neumann Type on Smooth Domains
• Helmholtz Equation with Artificial Boundary Conditions in a Two-Dimensional Waveguide
• Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides
• Optimized Schwarz Method with Complete Radiation Transmission Conditions for the Helmholtz Equation in Waveguides
• Numerical approximation of fractional powers of elliptic operators
• Electromagnetic Wave Propagation in Random Waveguides
• Finite Elemente