Results 31 to 40 of about 12,675 (193)

Qualitative Analysis of an Optimal Sparse Control Problem for Quasi-Linear Parabolic Equation with Variable Order of Nonlinearity

Journal of Optimization, Differential Equations and Their Applications, 2023
In this work, we study a sparse optimal control problem involving a quasilinear parabolic equation with variable order of nonlinearity as a state equation and with a pointwise control constraints.
Ciro D’Apice, Peter Kogut, Rosanna Manzo   +2 more
doaj   +1 more source

Convergence of The Relative Value Iteration for the Ergodic Control Problem of Nondegenerate Diffusions under Near-Monotone Costs

, 2013
We study the relative value iteration for the ergodic control problem under a near-monotone running cost structure for a nondegenerate diffusion controlled through its drift.
Arapostathis, Ari, Borkar, Vivek S., Kumar, K. Suresh   +2 more
core   +2 more sources

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
core   +1 more source

Random Carbon Tax Policy and Investment Into Emission Abatement Technologies

Mathematical Finance, EarlyView.
ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri, Rüdiger Frey, Verena Köck   +2 more
wiley   +1 more source

On the Theory of Entropy Solutions of Nonlinear Degenerate Parabolic Equations

Современная математика: Фундаментальные направления, 2020
We consider a second-order nonlinear degenerate parabolic equation in the case when the flux vector and the nonstrictly increasing diffusion function are merely continuous.
E. Yu. Panov
doaj   +1 more source

Well-posedness and stationary solutions [PDF]

, 2011
In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Burns, Martin, Grinfeld, Michael
core  

Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
wiley   +1 more source

A numerical comparison between degenerate parabolic and quasilinear hyperbolic models of cell movements under chemotaxis [PDF]

, 2014
We consider two models which were both designed to describe the movement of eukaryotic cells responding to chemical signals. Besides a common standard parabolic equation for the diffusion of a chemoattractant, like chemokines or growth factors, the two ...
Natalini, Roberto, Ribot, Magali, Twarogowska, Monika   +2 more
core   +1 more source

Boundedness of solution of a parabolic--ODE--parabolic chemotaxis--haptotaxis model with (generalized) logistic source

, 2017
In this paper, we study the following chemotaxis--haptotaxis system with (generalized) logistic source $$ \left\{\begin{array}{ll} u_t=\Delta u-\chi\nabla\cdot(u\nabla v)- \xi\nabla\cdot(u\nabla w)+u(a-\mu u^{r-1}-w), \displaystyle{v_t=\Delta v ...
Zheng, Jiashan
core   +1 more source

A priori estimates for quasilinear degenerate parabolic equations [PDF]

Proceedings of the American Mathematical Society, 2002
We prove some maximum and gradient estimates for classical solutions to a wide class of quasilinear degenerate parabolic equations, including first order ones. The proof is elementary and exploits the smallness of the domain in the time direction.
Manfredini M., Pascucci A.
openaire   +3 more sources