Results 61 to 70 of about 113,647 (186)

Global solutions of abstract quasilinear parabolic equations

Journal of Differential Equations, 1985
Abstract Local and global existence and uniqueness for strict solutions of abstract quasilinear parabolic equations are studied. Applications to quasilinear parabolic partial differential equations are also given.
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Evolution operators for higher order abstract parabolic equations [PDF]

Czechoslovak Mathematical Journal, 1986
The author shows the existence of an evolution operator for a higher order abstract parabolic equation with variable coefficients. The techniques employed are similar to Tanabe's method [\textit{H. Tanabe}, Osaka Math. J. 12, 363-376 (1960; Zbl 0098.313)].
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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
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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
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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
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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
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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
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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
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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
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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
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