Results 81 to 90 of about 341,593 (214)

Direct and inverse problems for linear relations

Bruno Pini Mathematical Analysis Seminar, 2013
Direct and inverse problem related to linear differential inclusions in Banach spaces are studied.The abstract results are applied to degenerate partial dierential equations of parabolic type.
Angelo Favini
doaj  

Li-Yau type estimation of a semilinear parabolic system along geometric flow

Journal of Inequalities and Applications
This article provides a Li–Yau-type gradient estimate for a semilinear weighted parabolic system of semilinear equations along an abstract geometric flow on a smooth measure space. A Harnack-type inequality on the system is also derived at the end.
Yanlin Li, Sujit Bhattacharyya, Shahroud Azami, Shyamal Kumar Hui   +3 more
doaj   +1 more source

On the solvability of parabolic and hyperbolic problems with a boundary integral condition

International Journal of Mathematics and Mathematical Sciences, 2002
We prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the data of certain parabolic and hyperbolic equations with a boundary integral condition.
Abdelfatah Bouziani
doaj   +1 more source

On Second Order of Accuracy Difference Scheme of the Approximate Solution of Nonlocal Elliptic-Parabolic Problems

Abstract and Applied Analysis, 2010
A second order of accuracy difference scheme for the approximate solution of the abstract nonlocal boundary value problem −d2u(t)/dt2+Au(t)=g(t), (0≤t≤1), du(t)/dt−Au(t)=f(t), (−1≤t≤0), u(1)=u(−1)+μ for differential equations in a Hilbert space H with a ...
Allaberen Ashyralyev, Okan Gercek
doaj   +1 more source

On stability with respect to boundary conditions for anisotropic parabolic equations with variable exponents

Boundary Value Problems, 2018
The anisotropic parabolic equations with variable exponents are considered. If some of diffusion coefficients {bi(x)} $\{b_{i}(x)\}$ are degenerate on the boundary, the others are always positive, then how to impose a suitable boundary value condition is
Huashui Zhan
doaj   +1 more source

Well-Posedness of the First Order of Accuracy Difference Scheme for Elliptic-Parabolic Equations in Hölder Spaces

Abstract and Applied Analysis, 2012
A first order of accuracy difference scheme for the approximate solution of abstract nonlocal boundary value problem −𝑑2𝑢(𝑡)/𝑑𝑡2+sign(𝑡)𝐴𝑢(𝑡)=𝑔(𝑡), (0≤𝑡≤1), 𝑑𝑢(𝑡)/𝑑𝑡+sign(𝑡)𝐴𝑢(𝑡)=𝑓(𝑡), (−1≤𝑡≤0), 𝑢(0+)=𝑢(0−),𝑢(0+)=𝑢(0−),and𝑢(1)=𝑢(−1)+𝜇 for differential ...
Okan Gercek
doaj   +1 more source

Degenerate Abstract Parabolic Equations and Applications

, 2015
Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equations and boundary conditions are degenerated on all boundary and contain some parameters. The linear problem is considered on the moving domain.
Shakhmurov, Veli.B., Sahmurova, Aida
openaire   +1 more source

Decay estimates and extinction properties of parabolic equations with classical and fractional time derivatives

Electronic Journal of Differential Equations
In this article, we study the decay estimates and extinction properties of weak solutions to some parabolic equations with classical and fractional time derivatives.
Fanmeng Meng, Xian-Feng Zhou
doaj  

Novel exact solutions for PDEs with mixed boundary conditions

Boundary Value Problems
We develop methods for the solution of inhomogeneous Robin-type boundary value problems (BVPs) that arise for certain linear parabolic partial differential equations (PDEs) on a half-line, as well as a second-order generalization.
Mark Craddock, Martino Grasselli, Andrea Mazzoran   +2 more
doaj   +1 more source

Existence of extremal periodic solutions for quasilinear parabolic equations

Abstract and Applied Analysis, 1997
In this paper we consider a quasilinear parabolic equation in a bounded domain under periodic Dirichlet boundary conditions. Our main goal is to prove the existence of extremal solutions among all solutions lying in a sector formed by appropriately ...
Siegfried Carl
doaj   +1 more source