Unique Continuation at the Boundary for Harmonic Functions in C1 Domains and Lipschitz Domains with Small Constant [PDF]
Communications on Pure and Applied Mathematics, 2020 Let Ω⊂ℝn be a C1 domain, or more generally, a Lipschitz domain with small local Lipschitz constant. In this paper it is shown that if u is a function harmonic in Ω and continuous in Ω¯ , which vanishes in a relatively open subset ∑⊂∂Ω ; moreover, the ...
X. Tolsa
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On Some Fractional Magnetic Problems
Pan-American Journal of Mathematics, 2023 In this article, we study existence of weak solutions and the unique continuation property of the nonlocal fractional magnetic equation. First, we use a variational technique to prove existence of weak solutions for the fractional Schrödinger equation ...
Frédéric D. Y. Zongo +2 more
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Space time stabilized finite element methods for a unique continuation problem subject to the wave equation [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2019 We consider a stabilized finite element method based on a spacetime formulation, where the equations are solved on a global (unstructured) spacetime mesh.
E. Burman +3 more
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Observability and uniqueness theorem for a coupled hyperbolic system
International Journal of Mathematics and Mathematical Sciences, 2000 We deal with the inverse inequality for a coupled hyperbolic system with dissipation. The inverse inequality is an indispensable inequality that appears in the Hilbert Uniqueness Method (HUM), to establish equivalence of norms which guarantees uniqueness
Boris V. Kapitonov, Joel S. Souza
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Unique continuation for degenerate quasilinear equations and sum operators
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We prove unique continuation property for positive solutions of some quasilinear degenerate elliptic equations.
Giuseppe Di Fazio +2 more
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Carleman estimates for Baouendi–Grushin operators with applications to quantitative uniqueness and strong unique continuation [PDF]
Applicable Analysis, 2019 In this paper, we establish some new Carleman estimates for the Baouendi–Grushin operators , in Equation (1). We apply such estimates to obtain: (i) an extension of the Bourgain–Kenig quantitative unique continuation and (ii) the strong unique ...
Agnid Banerjee +2 more
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Unique continuation of the normal operator of the x-ray transform and applications in geophysics [PDF]
Inverse Problems, 2019 We show that the normal operator of the x-ray transform in Rd, d ≥ 2, has a unique continuation property in the class of compactly supported distributions.
Joonas Ilmavirta, Keijo Mönkkönen
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Uniqueness of the von Neumann Continuous Factor [PDF]
Canadian Journal of Mathematics, 2018 AbstractFor a division ring D, denote by 𝓜D the D-ring obtained as the completion of the direct limit with respect to themetric induced by its unique rank function. We prove that, for any ultramatricial D-ring 𝓑 and any non-discrete extremal pseudo-rank function N on 𝓑, there is an isomorphism of D-rings , where stands for the completion of 𝓑 with ...
Ara Bertrán, Pere +1 more
openaire +3 more sources
Strong unique continuation of eigenfunctions for p-Laplacian operator
International Journal of Mathematics and Mathematical Sciences, 2001 We show the strong unique continuation property of the eigenfunctions for p-Laplacian operator in the case ...
Islam Eddine Hadi, N. Tsouli
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On the uniqueness of continuation of a partially defined metric
Theory and Applications of Graphs, 2022 The problem of continuation of a partially defined metric can be efficiently studied using graph theory. Let $G=G(V,E)$ be an undirected graph with the set of vertices $V$ and the set of edges $E$.
Evgeniy Petrov
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