Some extremal problems for solutions of the modified Helmholtz equation in the half-space

DOI10.1007/978-981-16-6297-3_12zbMath1505.35102OpenAlexW4210439584MaRDI QIDQ2097388

Tehiya Ben Yaakov, Gershon I. Kresin

Publication date: 11 November 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-6297-3_12

zbMATH Keywords

Dirichlet problemNeumann problemhalf-spacemodified Helmholtz equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Optimal estimates for the gradient of harmonic functions in the multidimensional half-space
• Sharp real-part theorems in the upper halfplane and similar estimates for harmonic functions
• Handbook of Linear Partial Differential Equations for Engineers and Scientists
• Generalized Poisson integral and sharp estimates for harmonic and biharmonic functions in the half-space
• The first boundary value problem for the lterated helmholtz equation in a half

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