Existence and uniqueness of the solution, separation for certain second order elliptic differential equation

DOI10.1080/00036810008840875zbMath1034.35016OpenAlexW2088784997WikidataQ58301304 ScholiaQ58301304MaRDI QIDQ2729505

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Publication date: 22 July 2001

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

Full work available at URL: https://doi.org/10.1080/00036810008840875

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

Separation of the Sturm--Liouville differential operator with an operator potential ⋮ Separation for the biharmonic differential operator in the Hilbert space associated with the existence and uniqueness theorem ⋮ Inequalities and separation for the Laplace-Beltrami differential operator in Hilbert spaces ⋮ Separation of the Schrödinger operator with an operator potential in the Hilbert spaces ⋮ Separation for Schrodinger-type operators with operator potentials in Banach spaces ⋮ Separation of the Grushin differential operator in weighted Hilbert spaces ⋮ Separation of the general second order elliptic differential operator with an operator potential in the weighted Hilbert spaces

Cites Work

• Inequalities and separation for Schrödinger type operators in L₂(Rⁿ)
• Dirichlet and separation results for Schrödinger-type operators
• Some Properties of the Domains of Certain Differential Operators
• On Some Properties of the Powers of a Formally Self-Adjoint Differential Expression
• On Some Properties of the Domains of Powers of Certain Differential Operators

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