Results 11 to 20 of about 9,179 (236)
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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Remark on the strong unique continuation property for parabolic operators [PDF]
Proceedings of the American Mathematical Society, 2003 We consider solutions u = u ( x , t
G. ALESSANDRINI, VESSELLA, SERGIO
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Approximate Controllability of Sub-Diffusion Equation with Impulsive Condition
Mathematics, 2019 In this work, we study an impulsive sub-diffusion equation as a fractional diffusion equation of order α ∈ ( 0 , 1 ) . Existence, uniqueness and regularity of solution of the problem is established via eigenfunction expansion. Moreover,
Lakshman Mahto +3 more
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A Unique Continuation Property for the Level Set Equation [PDF]
International Mathematics Research Notices, 2018 Abstract We prove the following unique continuation result: if a solution to the level set equation for mean curvature flow in a mean convex domain agrees to infinite order at the point where it attains its maximum with the solution for a ball, then it agrees everywhere and the domain is a ball.
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Unique Continuation for the Kawahara Equation
Trends in Computational and Applied Mathematics, 2007 We establish a unique continuation property for the Kawahara equation. To state such property, we use a Carleman inequality for a linear differential operator related to the Kawahara equation.
P.N. da Silva
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Strong Unique Continuation Property for the Dirac Equation
Publications of the Research Institute for Mathematical Sciences, 1999 We discuss some Carleman type inequalities which lead to a strong unique continuation property for Dirac operators with potential dominated by the Coulomb singularity.
De Carli, Laura, Ōkaji, Takashi
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Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation [PDF]
Communications in Mathematical Physics, 2007 It is shown that a strong solution of the Camassa-Holm equation, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if it also decays exponentially at a later time. In particular, a strong solution of the Cauchy problem with compact initial profile can not be compactly supported at any later time ...
Himonas, A. Alexandrou +3 more
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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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Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator
Abstract and Applied Analysis, 2012 We will study the spectrum for the biharmonic operator involving the laplacian and the gradient of the laplacian with weight, which we call third-order spectrum. We will show that the strict monotonicity of the eigenvalues of the operator , where , holds
Khalil Ben Haddouch +3 more
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Strong Unique Continuation for Solutions of a p(x)-Laplacian Problem
International Journal of Mathematics and Mathematical Sciences, 2012 We study the strong unique continuation property for solutions to the quasilinear elliptic equation -div(|∇u|p(x)-2∇u)+V(x)|u|p(x)-2u=0 in Ω where V(x)∈LN/p(x)(Ω), Ω is a smooth bounded domain in ℝN, and ...
Johnny Cuadro, Gabriel López
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