Results 71 to 80 of about 243 (185)
On the Dynamics of Nonautonomous Parabolic Systems Involving the Grushin Operators
International Journal of Mathematics and Mathematical Sciences, 2011 We study the long-time behavior of solutions to nonautonomous semilinear parabolic systems involving the Grushin operators in bounded domains. We prove the existence of a pullback D-attractor in (L2(Ω))m for the corresponding process in ...
Anh Cung The, Toi Vu Manh
doaj +1 more source
Existence of solutions to nonlinear parabolic problems with delay
Electronic Journal of Differential Equations, 2004 We prove the existence and uniqueness of global solutions to semilinear parabolic equations with a nonlinear delay term. We study these problems in the whole space $mathbb{R}^n$, obtain classic solutions, and give a mass decay result of the solution.
Deliang Hsu
doaj
Mathematical Modelling and Analysis, 2009 On a vertical strip, a Dirichlet problem is considered for a system of two semilinear singularly perturbed parabolic reaction‐diffusion equations connected only by terms that do not involve derivatives.
Lidia Shishkina, Grigorii Shishkin
doaj +1 more source
SOME MIXED PROBLEMS FOR SEMILINEAR PARABOLIC TYPE EQUATION
Journal of Applied Analysis & Computation, 2014 In this paper, some mixed problem with third type boundary value for a semilinear parabolic equation is investigated. Here the solvability theorems for considered problem and the uniqueness theorem for a model case of the problem are showed.
Duzgun, Fatma Gamze, Soltanov, Kamal
openaire +2 more sources
Abstract and Applied Analysis, 2012 Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
doaj +1 more source
Existence of a moving attractor for semi-linear parabolic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We analyze the existence of a moving attractor for a semi-linear parabolic equation. The analysis is carried out using a coordinate transformation to obtain the equation in moving coordinates and the contractions of the solutions to travelling wave ...
Champike Attanayake +2 more
doaj +1 more source
Global solutions of a semilinear parabolic equation
Advances in Differential Equations, 1999 The authors study radial solutions of the initial Dirichlet problem for the equation \(u_t=\Delta u+\lambda e^u\) on the \(N\)-dimensional unit ball for \(3\leq N\leq 9\). It is shown that every global classical solution is uniformly bounded while unbounded global \(L^1\)-solutions are constructed for some \(\lambda\).
Fila, Marek, Poláčik, Peter
openaire +3 more sources
Semilinear parabolic equations with Preisach hysteresis
Differential and Integral Equations, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Little, T. D., Showalter, R. E.
openaire +3 more sources
Critical global asymptotics in higher-order semilinear parabolic equations
International Journal of Mathematics and Mathematical Sciences, 2003 We consider a higher-order semilinear parabolic equation ut=−(−Δ)mu−g(x,u) in ℝN×ℝ+, m>1. The nonlinear term is homogeneous: g(x,su)≡|s|p−1sg(x,u) and g(sx,u)≡|s|Qg(x,u) for any s∈ℝ, with exponents P>1, and Q>−2m.
Victor A. Galaktionov
doaj +1 more source
On the solution stability of parabolic optimal control problems. [PDF]
Comput Optim Appl, 2023 Corella AD, Jork N, Veliov VM.
europepmc +1 more source