Results 61 to 70 of about 645 (200)
Shift invariant subspaces in growth spaces and sets of finite entropy
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract We investigate shift invariant subspaces within the realm of analytic functions in the unit disc, whose radial growth is determined by a majorant w$w$. Our main result offers a complete characterization of the shift invariant subspaces generated by Nevanlinna class functions within the aforementioned class of growth spaces.
Adem Limani
wiley +1 more source
Null controllability of a model in population dynamics
Electronic Journal of Differential Equations, 2014 In this article, we study the null controllability of a linear model with degenerate diffusion in population dynamics. We develop first a Carleman type inequality for the adjoint system of an intermediate model, and then an observability inequality.
Younes Echarroudi, Lahcen Maniar
doaj
Soft Riemann‐Hilbert problems and planar orthogonal polynomials
Communications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
wiley +1 more source
Lipschitz stability for degenerate parabolic systems
Electronic Journal of Differential Equations, 2014 In this article, we study an inverse problem for weakly degenerate coupled parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of
Idriss Boutaayamou +2 more
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Lipschitz stability for linear parabolic systems with interior degeneracy
Electronic Journal of Differential Equations, 2014 In this article, we study an inverse problem for linear degenerate parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of the ...
Idriss Boutaayamou +2 more
doaj
Null controllability of nonlinear control systems governed by coupled degenerate parabolic equations
Electronic Journal of Differential Equations, 2019 This article concerns the null controllability of a nonlinear control system governed by coupled degenerate parabolic equations. We first establish the Carleman estimate and the observability inequality for solutions to the conjugate problem.
Fengdan Xu +3 more
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Resolvent estimates for the Lam�� operator and failure of Carleman estimates
, 2019 To appear in Journal of Fourier Analysis and ...
Kwon, Yehyun, Lee, Sanghyuk, Seo, Ihyeok
openaire +2 more sources
On Carleman estimates with two large parameters [PDF]
Indiana University Mathematics Journal, 2011 We provide a general framework for the analysis and the derivation of Carleman estimates with two large parameters. For an appropriate form of weight functions strong pseudo-convexity conditions are shown to be necessary and sufficient.
openaire +1 more source
Null controllability of population dynamics with interior degeneracy
Electronic Journal of Differential Equations, 2017 In this article, we study the null controllability of population model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and then we deduce a suitable observability inequality which
Idriss Boutaayamou, Younes Echarroudi
doaj
Fractal and FractionalThis work studies an integro-fractional differential equation (I-FrDE) with a generalized symmetric singular kernel. The scientific approach in this study was to transform the integro-differential equation (I-DE) into a mixed integral equation (MIE) with
Sameeha A. Raad, Mohammed A. Abdou
doaj +1 more source