Results 61 to 70 of about 651 (202)
Internal exact controllability of the linear population dynamics with diffusion
Electronic Journal of Differential Equations, 2004 We consider the internal exact controllability of a linear age and space structured population model with nonlocal birth process. The control acts only in a spatial subdomain and only for small age classes.
Bedr'Eddine Ainseba, Sebastian Anita
doaj
An Inverse Source Problem for Singular Parabolic Equations with Interior Degeneracy
Abstract and Applied Analysis, 2018 The main purpose of this work is to study an inverse source problem for degenerate/singular parabolic equations with degeneracy and singularity occurring in the interior of the spatial domain.
Khalid Atifi +3 more
doaj +1 more source
On an Empirical Likelihood Based Solution to the Approximate Bayesian Computation Problem
Statistical Analysis and Data Mining: The ASA Data Science Journal, Volume 17, Issue 5, October 2024.ABSTRACT Approximate Bayesian computation (ABC) methods are applicable to statistical models specified by generative processes with analytically intractable likelihoods. These methods try to approximate the posterior density of a model parameter by comparing the observed data with additional process‐generated simulated data sets.
Sanjay Chaudhuri +2 more
wiley +1 more source
The Metivier inequality and ultradifferentiable hypoellipticity
Mathematische Nachrichten, Volume 297, Issue 7, Page 2517-2531, July 2024.Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Paulo D. Cordaro, Stefan Fürdös
wiley +1 more source
Carleman estimates and null controllability of degenerate/singular parabolic systems
Electronic Journal of Differential Equations, 2016 We study null controllability properties for parabolic coupled systems with degeneracy and singularity occurring in the interior of the spatial domain.
Abdelkarim Hajjaj +2 more
doaj
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
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
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
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
doaj
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