Results 71 to 80 of about 1,364,487 (206)

Quasilinear Differential Constraints for Parabolic Systems of Jordan‐Block Type

Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.
ABSTRACT We prove that linear degeneracy is a necessary conditions for systems in Jordan‐block form to admit a compatible quasilinear differential constraint. Such condition is also sufficient for 2×2$2\times 2$ systems and turns out to be equivalent to the Hamiltonian property.
Alessandra Rizzo, Pierandrea Vergallo
wiley   +1 more source

A Quasilinear Parabolic Equation with Quadratic Growth of the Gradient modeling Incomplete Financial Markets [PDF]

We consider a quasilinear parabolic equation with quadratic gradient terms. It arises in the modelling of an optimal portfolio which maximizes the expected utility from terminal wealth in incomplete markets consisting of risky assets and non-tradable ...
Ansgar Jüngel, Bertram Düring
core  

Existence of stable periodic solutions for quasilinear parabolic problems in the presence of well-ordered lower and upper-solutions

Electronic Journal of Differential Equations, 2002
We present existence and stability results for periodic solutions of quasilinear parabolic equation related to Leray-Lions's type operators. To prove existence and localization, we use the penalty method; while for stability we use an approximation ...
Abderrahmane El Hachimi, Abdelilah Lamrani Alaoui   +1 more
doaj  

Hermite solution for a new fractional inverse differential problem

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3811-3824, February 2025.
Mathematics, mathematical modeling of real systems, and mathematical and computer methodologies aimed at the qualitative and quantitative study of real physical systems interact in a nontrivial way. This work aims to examine a new class of inverse problems for a fractional partial differential equation with order fractional 0<ρ≤1$$ 0<\rho \le 1 ...
Mohammed Elamine Beroudj, Abdelaziz Mennouni, Carlo Cattani   +2 more
wiley   +1 more source

On an optimal control problem for a quasilinear parabolic equation [PDF]

, 2000
An optimal control problem governed by a quasilinear parabolic equation with additional constraints is investigated. The optimal control problem is converted to an optimization problem which is solved using a penalty function technique. The existence and
Farag, M., Farag, S.
core  

Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators

Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 265-284, January 2025.
Abstract We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local–nonlocal operator L=−Δ+(−Δ)s$\mathcal {L}= -\Delta +(-\Delta)^s$, with a power‐like source term. We show that the so‐called Fujita phenomenon holds, and the critical value is exactly the same as for the fractional Laplacian.
Stefano Biagi, Fabio Punzo, Eugenio Vecchi   +2 more
wiley   +1 more source

A QUASILINEAR PARABOLIC EQUATION WITH INHOMOGENEOUS DENSITY AND ABSORPTION [PDF]

, 2010
. We deal with the initial-boundary value problem for a quasilinear degenerate parabolic equation with inhomogeneous density and absorption, which appears in a number of applications to describe the evolution of diffusion processes, in particular ...
C H Liu
core  

A Uniformly Convergent Scheme for Singularly Perturbed Unsteady Reaction–Diffusion Problems

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In the present work, a class of singularly perturbed unsteady reaction–diffusion problem is considered. With the existence of a small parameter ε, (0 < ε ≪ 1) as a coefficient of the diffusion term in the proposed model problem, there exist twin boundary layer regions near the left end point x = 0 and right end point x = 1 of the spatial domain.
Amare Worku Demsie, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Tudor Barbu   +3 more
wiley   +1 more source

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

Electronic 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  

Asymptotic behavior of solutions of a parabolic equations in a band domain

上海师范大学学报. 自然科学版
We consider a quasilinear parabolic equation in a band domain with inhomogeneous and unbounded boundary conditions. We show that, under certain conditions, the solution u of the initialboundary value problem tends to infinite as t→∞.
DU Wenjing, HUANG Xinyu, WU Junyan, XIU Xinxiu, YUAN Lixia   +4 more
doaj   +1 more source