scientific article; zbMATH DE number 1227236

zbMath0907.34044MaRDI QIDQ4220676

A. V. Glushak

Publication date: 7 December 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Dirichlet problemasymptoticsCauchy problemBanach spacebounded solutionsecond-order elliptic differential operatorlinear closed operator

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear differential equations in abstract spaces (34G10)

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Criterion for the solvability of the weighted Cauchy problem for an abstract Euler-Poisson-Darboux equation ⋮ On the relationship between the solutions of an abstract Euler-Poisson-Darboux equation and fractional powers of the operator coefficient in the equation ⋮ On the unique solvability of boundary value problems for an abstract Euler-Poisson-Darboux equations on a finite interval ⋮ On the solvability of boundary value problems for an abstract singular equations on a finite interval ⋮ Dirichlet problem on the half-line for an abstract Euler-Poisson-Darboux equation containing powers of an unbounded operator ⋮ Transmutation Operators as a Solvability Concept of Abstract Singular Equations ⋮ Uniqueness criterion for the solution of boundary-value problems for the abstract Euler-Poisson-Darboux equation on a finite interval ⋮ Sturm–Liouville operator functions ⋮ An operator formula for the shift of the solution of the Cauchy problem for an abstract Euler-Poisson-Darboux equation

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