Results 21 to 30 of about 12,988 (199)

A Picone identity for variable exponent operators and applications

Advances in Nonlinear Analysis, 2019
In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh, Giacomoni Jacques, Warnault Guillaume   +2 more
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Computing optimal control with a quasilinear parabolic partial differential equation [PDF]

Surveys in Mathematics and its Applications, 2009
This paper presents the numerical solution of a constrained optimal control problem (COCP) for quasilinear parabolic equations. The COCP is converted to unconstrained optimization problem (UOCP) by applying the exterior penalty function method. Necessary
M. H. Farag
doaj  

Rate of Convergence of Space Time Approximations for stochastic evolution equations [PDF]

, 2007
Stochastic evolution equations in Banach spaces with unbounded nonlinear drift and diffusion operators driven by a finite dimensional Brownian motion are considered.
A. Cohen, Annie Millet, B. Rozovskii, E. Pardoux, E. Pardoux, I. Gyöngy, I. Gyöngy, I. Gyöngy, I. Gyöngy, I. Gyöngy, István Gyöngy, N.V. Krylov, N.V. Krylov, P. Ciarlet, Y.B. Yan   +14 more
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On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification

Abstract and Applied Analysis, 2003
This paper deals with weak solution in weighted Sobolev spaces, of three-point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly,
Abdelfatah Bouziani
doaj   +1 more source

Large deviations for quasilinear parabolic stochastic partial differential equations

, 2019
In this paper, we establish the Freidlin-Wentzell's large deviations for quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone.
Dong, Zhao, Zhang, Rangrang, Zhang, Tusheng   +2 more
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The quasilinear parabolic kirchhoff equation

Open Mathematics, 2017
Abstract In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
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Uniform Bounds for Solutions to Quasilinear Parabolic Equations

Journal of Differential Equations, 2001
The authors consider a class of quasilinear parabolic equations on a domain \(D \subset \mathbb{R}^d\) of finite Lebesgue measure in the form \[ u_t(t,x) = \text{div\,} a(t,x,u(t,x), \nabla u(t,x)); \quad t \in (0,\infty),\;x \in D. \] where \(a : (0,\infty)\times D \times \mathbb{R} \times \mathbb{R}^d \to \mathbb{R}^d\) is a Carathéodory function ...
CIPRIANI, FABIO EUGENIO GIOVANNI, GRILLO, GABRIELE   +1 more
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Optimal control of quasilinear parabolic equations [PDF]

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1995
This paper deals with optimal control problems governed by quasilinear parabolic equations in divergence form, whose cost functional is of Lagrangian type. Our aim is to prove the existence of solutions and derive some optimality conditions. To attain this second objective, we accomplish the sensitivity analysis of the state equation with respect to ...
Casas, Eduardo, Fernández, Luis A., Yong, Jiongmin   +2 more
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Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth

, 2010
We establish global regularity for weak solutions to quasilinear divergence form elliptic and parabolic equations over Lipschitz domains with controlled growth conditions on low order terms.
Arkhipova A.A., Arkhipova A.A., Bögelein V., Bögelein V., Campanato S., Campanato S., Campanato S., Campanato S., Campanato S., Campanato S., Chiarenza F., De Giorgi E., Dong H., Doyoon Kim, Duzaar F., Feng Z., Gehring F., Giaquinta M., Giaquinta M., Hongjie Dong, Ladyženskaja O.A., Lieberman G.M., Marino M., Palagachev D., Palagachev D., Pulvirenti G., Stará J.   +26 more
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Abstract quasilinear parabolic equations

Mathematische Annalen, 1984
The author deals with an abstract quasilinear parabolic problem \(u'(t)=A(t,u(t))u(t)+f(t,u(t)), t>0\), \(u(0)=u_ 0\) in a Banach space X. His theorems on existence and uniqueness are such that a concrete quasilinear parabolic problem can be attacked without imposing growth conditions on the coefficients.
openaire   +1 more source