Results 31 to 40 of about 847,053 (257)
Null Controllability for Parabolic Operators with Interior Degeneracy and One-Sided Control
SIAM Journal on Control and Optimization, 2019 For $\alpha\in (0,2)$ we study the null controllability of the parabolic operator $Pu= u_t - (\vert x \vert ^\alpha u_x)_x \ (-1<x<1),$ which degenerates at the interior point $x=0$ for locally distributed controls acting only on one side of the origin (that is, on some interval $(a,b)$ with $0<a<b<1$). Our main results guarantee that $P$
Cannarsa P., Ferretti R., Martinez P.
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Modeling Quantum Particles Falling into a Black Hole: The Deep Interior Limit
Universe, 2023 In this paper, we construct a solvable toy model of the quantum dynamics of the interior of a spherical black hole with falling spherical scalar field excitations.
Alejandro Perez +2 more
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On finding a point in the relative interior of a polyhedral set and degeneracy in geometric programming [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1978 AbstractGeometric programming is now a well-established branch of optimization theory which has its origin in the analysis of posynomial programs. Geometric programming transforms a mathematical program with nonlinear objective function and nonlinear inequality constraints into a dual problem with nonlinear objective function and linear constraints ...
Jefferson, T. R., Scott, C. H.
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On the weakly degenerate Allen-Cahn equation
Advances in Nonlinear Analysis, 2019 In this paper we consider a one-dimensional Allen-Cahn equation with degeneracy in the interior of the domain and Neumann boundary conditions. We allow the diffusivity coefficient vanish at some point of the space domain and we are addressed on the ...
Sônego Maicon
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 We deal with a control problem for a coupled system of two degenerate singular parabolic equations in non-divergence form with degeneracy and singularity appearing at an interior point of the space domain. In particular, we consider the well-posedness of
Jawad Salhi
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Strictly Abnormal Geodesics with a Degeneracy Point in the Interior of Their Domain
SIAM Journal on Control and OptimizationAbstract. In this article, we study abnormal curves in a family of sub-Riemannian manifolds of rank 2. We focus on abnormal curves whose lifts to the cotangent bundle annihilate, at an interior point of the domain, all Lie brackets of length up to three of vector fields tangent to the distribution.
Nicola Paddeu, Alessandro Socionovo
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Mathematical Modelling and Analysis, 2015 We consider the numerical approximation of a 1D singularly perturbed convection-diffusion problem with a multiply degenerating convective term, for which the order of degeneracy is 2p + 1, p is an integer with p ≥ 1, and such that the convective flux is ...
Carmelo Clavero +3 more
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Mitochondrial translation and coordinated cytosolic translation in metabolic homeostasis and disease
FEBS Letters, EarlyView.Mitochondrial function depends on coordinated protein production from the nuclear and mitochondrial genomes. This review highlights how cytosolic and mitochondrial translation, mRNA localization, protein import, and respiratory complex assembly are integrated to maintain mitochondrial proteostasis and function.
Boseon Kim +4 more
wiley +1 more source
Emergent classical spacetime from microstates of an incipient black hole
Journal of High Energy Physics, 2019 Black holes have an enormous underlying space of microstates, but universal macroscopic physics characterized by mass, charge and angular momentum as well as a causally disconnected interior.
Vijay Balasubramanian +5 more
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Variational inequalities with lack of ellipticity. Part I: Optimal interior regularity and non-degeneracy of the free boundary [PDF]
Indiana University Mathematics Journal, 2003 This paper deals with obstacle problems for sub-Laplacians on Carnot groups and it provides the sub-elliptic extension of regularity for solutions of variational inequalities associated with uniformly elliptic second order operators (see e.g. the classical works of G. Stampacchia, H. Lewy, J. L. Lions, J. Frehse, L. A. Caffarelli, D.
D. Danielli, N. Garofalo, SALSA, SANDRO
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