Results 21 to 30 of about 1,312 (223)
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 +2 more
doaj +1 more source
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
Smooth Solutions of systems of quasilinear parabolic equations [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2002 Diagonal quasilinear parabolic systems arising in the context of stochastic differential games are considered: \[ \partial_t u^k- (a_{ij}(x,t)u^k_{x_j})_{x_i} = H^k(x,t,u,\nabla u) , \] where the Hamiltonians \(H^k\) have quadratic growth in \(\nabla u\). Uniform ellipticity of \(a_{ij}\) and special structure conditions \[ | H^k(x,t,u,p)| \leq C | p^k|
Bensoussan, Alain, Frehse, Jens
openaire +2 more sources
Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system [PDF]
, 2023 summary:This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been ...
Chiyo, Yutaro
core +1 more source
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
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.
openaire +5 more sources
, 2008 This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, X. +5 more
core +1 more source
Multivalued solutions of multidimensional linear equations of heat conduction and rivertons
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 Background. The article considers the problem of calculating multivalued solutions of multidimensional linear parabolic equations. Solutions for this type of equations of heat conductivity in dimension d > 2 were not previously known and represent an ...
V.M. Zhuravlev, V.M. Morozov
doaj +1 more source
Stochastic PDEs with multiscale structure [PDF]
, 2012 We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer +3 more
core +1 more source
Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11775-11793, 30 July 2026.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
wiley +1 more source