Results 81 to 90 of about 12,475 (200)

Boundary controllability for a degenerate beam equation

open access: yesMathematical Methods in the Applied Sciences, Volume 47, Issue 2, Page 907-927, 30 January 2024.
The paper deals with the controllability of a degenerate beam equation. In particular, we assume that the left end of the beam is fixed, while a suitable control f$$ f $$ acts on the right end of it. As a first step, we prove the existence of a solution for the homogeneous problem, then we prove some estimates on its energy. Thanks to them, we prove an
Alessandro Camasta, Genni Fragnelli
wiley   +1 more source

On one-dimensional stochastic control problems: applications to investment models [PDF]

open access: yes
The paper provides a systematic way for finding a partial differential equation that characterize directly the optimal control, in the framework of one?dimensional stochastic control problems of Mayer, with no constraints on the controls.
Juan Pablo Rincón-Zapatero   +1 more
core  

Global existence, uniqueness, and continuous dependence for a reaction-diffusion equation with memory

open access: yesElectronic Journal of Differential Equations, 1996
initial data are established for a quasilinear functional reaction-diffusion equation which arises from a two-dimensional energy balance climate model.
Georg Hetzer
doaj  

Locally Invariant Manifolds for Quasilinear Parabolic Equations

open access: yesRocky Mountain Journal of Mathematics, 1991
The paper is concerned with the geometric study of an evolution equation of the form \(x'-Lx=f(t,\lambda,x)\), where \(L:D(L)\to X\) is the generator of a holomorphic semigroup and the nonlinearity \(f\) acts essentially from some interpolation space \(D_ L(\theta+1)\) to \(D_ L(\theta)\).
openaire   +2 more sources

Quasilinear parabolic equations with localized reaction

open access: yesAdvances in Differential Equations, 2005
In this paper, we study a nonnegative blow-up solution of the Dirichlet problem for a quasilinear parabolic equation $(u^{\alpha})_t=\Delta u +f(u) + g(u(x_0(t),t))$ in $B(R)$, where $B(R)=\{ x \in \mathbf{R^N}\,;\, |x| < R\}$, $0 < \alpha \le 1$, $x_0(t)\in C^{\infty}([0,\infty) ;B(R))$ satisfies $x_0(t)\not = 0$, and $f(\xi)$ and $g(\xi)$ satisfy ...
Fukuda, Isamu, Suzuki, Ryuichi
openaire   +2 more sources

Sturm attractors for quasilinear parabolic equations [PDF]

open access: yesJournal of Differential Equations, 2018
21 pages, 1 ...
openaire   +2 more sources

On nonlocal quasilinear equations and their local limits

open access: yes, 2016
We introduce a new class of quasilinear nonlocal operators and study equations involving these operators. The operators are degenerate elliptic and may have arbitrary growth in the gradient.
Chasseigne, Emmanuel, Jakobsen, Espen
core   +1 more source

Development of attenuation and diffraction corrections for linear and nonlinear Rayleigh surface waves radiating from a uniform line source

open access: yesAIP Advances, 2016
In recent studies with nonlinear Rayleigh surface waves, harmonic generation measurements have been successfully employed to characterize material damage and microstructural changes, and found to be sensitive to early stages of damage process.
Hyunjo Jeong   +3 more
doaj   +1 more source

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