A note on the Kato class and some applications
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Publication:2424859
DOI10.1007/s11117-018-0609-yzbMath1418.35090OpenAlexW2890147535MaRDI QIDQ2424859
René Erlín Castillo, Julio Cesar Ramos Fernandez, Edixon Rojas
Publication date: 25 June 2019
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-018-0609-y
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Cites Work
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- An introductory course in Lebesgue spaces
- On a frequency function approach to the unique continuation principle
- Singuläre elliptische Differentialoperatoren in Hilbertschen Räumen
- Estimates on the Green's function and existence of positive solutions of nonlinear singular elliptic equations in the half space
- On a new Kato class and singular solutions of a nonlinear elliptic equation in bounded domains of \(\mathbb{R}^n\)
- On the unique continuation properties for elliptic operators with singular potentials
- A partial answer to a conjecture of B. Simon concerning unique continuation
- Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems
- Positive solutions for a singular nonlinear problem on a bounded domain in \(\mathbb R^2\)
- Schrödinger operators with singular potentials
- Schrödinger semigroups
- Imbedding estimates involving new norms and applications
- Unique continuation for elliptic operators: A geometric-variational approach
- Brownian motion and harnack inequality for Schrödinger operators
- Estimates on the Green Function and Existence of Positive Solutions of Nonlinear Singular Elliptic Equations
- Existence and estimates of solutions for singular nonlinear elliptic problems