Results 71 to 80 of about 242 (185)

Recent Advances in Numerical Methods for Stochastic Differential Equations: From Classical Schemes to Wavelet‐Based Techniques

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Stochastic processes prevail throughout fields as diverse as finance, physics, and biology, demanding increasingly sophisticated mathematical tools. These are the principal components of modeling systems influenced by random forces. The present work offers a structured examination of the solution landscape, progressing from foundational classical ...
Danamma I. Badigannavar, Harinakshi Karkera, Marko Kostic   +2 more
wiley   +1 more source

Existence of solutions to Burgers equations in a non-parabolic domain

Electronic Journal of Differential Equations, 2018
In this article, we study the semilinear Burgers equation with time variable coefficients, subject to boundary condition in a non-parabolic domain. Some assumptions on the boundary of the domain and on the coefficients of the equation will be imposed.
Yassine Benia, Boubaker-Khaled Sadallah
doaj  

Blow-up theorems of Fujita type for a semilinear parabolic equation with a gradient term

Advances in Difference Equations, 2018
This paper deals with the existence and non-existence of the global solutions to the Cauchy problem of a semilinear parabolic equation with a gradient term.
Yang Na, Mingjun Zhou, Xu Zhou, Guanming Gai   +3 more
doaj   +1 more source

Existence and continuity of global attractors for a degenerate semilinear parabolic equation

Electronic Journal of Differential Equations, 2009
In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Cung The Anh, Tran Dinh Ke
doaj  

Degenerate semilinear parabolic equations

Differential and Integral Equations, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Semilinear evolution equations of the parabolic type [PDF]

Annales Polonici Mathematici, 1999
The author proves an existence and uniqueness result concerning classical solutions to a semilinear time-dependent differential equation in a real Banach space.
openaire   +1 more source

Semilinear parabolic equations in $L^1(\Omega)$

Advances in Differential Equations, 2007
n ...
openaire   +4 more sources

An abstract approximate controllability result and applications to elliptic and parabolic systems with dynamic boundary conditions

Electronic Journal of Differential Equations, 2001
In this paper we prove an approximate controllability result for an abstract semilinear evolution equation in a Hilbert space and we obtain as consequences the approximate controllability for some classes of elliptic and parabolic problems subjected to ...
Ioan Bejenaru, Jesus Ildefonso Diaz, Ioan I. Vrabie   +2 more
doaj  

Global Existence and Uniform Energy Decay Rates for the Semilinear Parabolic Equation with a Memory Term and Mixed Boundary Condition

Abstract and Applied Analysis, 2013
This work is concerned with a mixed boundary value problem for the semilinear parabolic equation with a memory term and generalized Lewis functions which depends on both spacial variable and time.
Zhong Bo Fang, Liru Qiu
doaj   +1 more source

Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations

Discrete and Continuous Dynamical Systems - B, 2019
The paper gives a comprehensive study of Inertial Manifolds for hyperbolic relaxations of an abstract semilinear parabolic equation in a Hilbert space. A new scheme of constructing Inertial Manifolds for such type of problems is suggested and optimal spectral gap conditions which guarantee their existence are established.
Chepyzhov, Vladimir V., Kostianko, Anna, Zelik, Sergey, Voronezh State University, Universitetskaya sq. 1, Voronezh 394018, Russian Federation   +3 more
openaire   +4 more sources