Results 41 to 50 of about 206 (158)

Integrodifferential equations with analytic semigroups

International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 177-189, 2003., 2003
In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
D. Bahuguna
wiley   +1 more source

The Minty-Browder theorem for nonlinear elliptic equations involving p-Laplacian with singular coefficients under form boundary conditions [PDF]

We consider the elliptic parabolic partial differential equation with singular coefficients under the rather general form boundary conditions. We proved that the bounded operator associated with the elliptic equation satisfies monotony, coercivity, and ...
YAREMENKO, Mykola
core   +1 more source

Note for Global Existence of Semilinear Heat Equation in Weighted L^∞ Space [PDF]

, 2019
The local and global existence of the Cauchy problem for semilinear heat equations with small data is studied in the weighted L^∞(R^n ) framework by a simple contraction argument.
Fujiwara, K., Georgiev, V., Ozawa, T.
core   +1 more source

The regularity of weak solutions for certain n-dimensional strongly coupled parabolic systems

Advanced Nonlinear Studies, 2022
This paper is concerned with the n-dimensional strongly coupled parabolic systems with triangular form in the cylinder Ω×(0,T]\Omega \times (0,T]. We investigate L2{L}^{2} and Hölder regularity of the derivatives of weak solutions (u1,u2)\left({u}_{1},{u}
Tan Qi-Jian
doaj   +1 more source

Spatial Decay Estimates for Elastic Plate System With Type II Heat Conduction

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The classical Saint‐Venant principle has been extensively studied for harmonic and biharmonic models but remains largely unexplored for thermomechanical plates governed by hyperbolic (Type II) heat conduction, a conservative thermal model with unique dynamical features. This paper investigates the spatial decay properties of solutions to such a coupled
Jincheng Shi, Yiwu Lin, Pramita Mishra
wiley   +1 more source

On the weak solution of a three‐point boundary value problem for a class of parabolic equations with energy specification

Abstract and Applied Analysis, Volume 2003, Issue 10, Page 573-589, 2003., 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, prove the existence, uniqueness, and continuous dependence of the solution for the linear equation.
Abdelfatah Bouziani
wiley   +1 more source

Phragmén–Lindelöf Alternative Results for the Moore–Gibson–Thompson Heat Equation on an Exterior Region in R3

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents investigates the spatial behavior of solutions to the Moore–Gibson–Thompson (MGT) heat conduction equation posed on an exterior domain in ℝ3. Within the framework of Green–Naghdi Type III theory, we analyze the radial asymptotic properties of solutions using a novel weighted energy functional and a first‐order differential ...
Jincheng Shi, Yiwu Lin, Smritijit Sen
wiley   +1 more source

Existence of periodic solutions to fractional p(z)-Laplacian parabolic problems [PDF]

We consider a class of nonlinear parabolic initial boundary value problems having the fractional p(z)-Laplacian operator. By combining variable exponent fractional Sobolev spaces with topological degree theory, we establish theexistence of a time ...
MELLIANI, Said, ZINEDDAINE, Ghizlane, KASSIDI, Abderrazak   +2 more
core   +1 more source

Numerical solution of a malignant invasion model using some finite difference methods

Demonstratio Mathematica, 2023
In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao, Waal Gysbert Nicolaas de   +1 more
doaj   +1 more source

A note on the global existence and boundedness of an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction

Open Mathematics
We investigate the two-species chemotaxis predator-prey system given by the following system: ut=Δu−χ∇⋅(u∇w)+u(λ1−μ1ur1−1+av),x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+v(λ2−μ2vr2−1−bu),x∈Ω,t>0,0=Δw−w+v,x∈Ω,t>0,0=Δz−z+u,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta u-\chi \
Liu Ling
doaj   +1 more source