Runge property and approximation by complete systems of solutions for strongly elliptic equations
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Publication:5862384
DOI10.1080/17476933.2021.1955870zbMath1484.35018OpenAlexW4210513751MaRDI QIDQ5862384
Víctor A. Vicente-Benítez, Vladislav V. Kravchenko
Publication date: 9 March 2022
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2021.1955870
Theoretical approximation in context of PDEs (35A35) Schrödinger operator, Schrödinger equation (35J10) Weak solutions to PDEs (35D30) Classical solutions to PDEs (35A09)
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Cites Work
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- Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients
- Transmutations, \(L\)-bases and complete families of solutions of the stationary Schrödinger equation in the plane
- Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Runge property and multiplicity of solutions for elliptic equations in \({\mathbb{R}}^ N\) with a monotone nonlinearity
- The method of fundamental solutions for elliptic boundary value problems
- Analytic approximation of solutions of parabolic partial differential equations with variable coefficients
- Quaternionic fundamental solutions for electromagnetic scattering problems and application
- \(T\)- and \(D\)-matrix methods for electromagnetic scattering by impedance obstacles
- Construction of transmutation operators and hyperbolic pseudoanalytic functions
- Transmutations, singular and fractional differential equations with applications to mathematical physics
- Construction and application of Bergman-type reproducing kernels for boundary and eigenvalue problems in the plane
- Transmutations for Darboux transformed operators with applications
- A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations
- Some Recent Developments in the Transmutation Operator Approach
- Applied Pseudoanalytic Function Theory
- The stability for the Cauchy problem for elliptic equations
- Transmutations and Spectral Parameter Power Series in Eigenvalue Problems
- Direct and Inverse Sturm-Liouville Problems
- Spectral parameter power series for Sturm–Liouville problems
- Quantitative Runge Approximation and Inverse Problems
- Solution of parabolic free boundary problems using transmuted heat polynomials
- Runge's Theorem for Harmonic Functions
- On the differentiability of the solutions of linear elliptic differential equations
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