Results 1 to 10 of about 113,647 (186)
Existence of weak solutions for abstract hyperbolic-parabolic equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper we study the Existence and Uniqueness of solutions for the following Cauchy problem:A2u″(t)+A1u′(t)+A(t)u(t)+M(u(t))=f(t), t∈(0,T) (1)u(0)=u0; A2u′(0)=A212u1; where A1 and A2 are bounded linear operators in a ...
Marcondes Rodrigues Clark
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Peano Type Theorem for Abstract Parabolic Equations [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2009 We consider parabolic problems with non-Lipschitz nonlinearity in the different scales of Banach spaces and prove local-in-time existence theorem.
Zubelevich, Oleg
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Time averaging for random nonlinear abstract parabolic equations
Abstract and Applied Analysis, 2000 On the basis of G‐convergence we prove an averaging result for nonlinear abstract parabolic equations, the operator coefficient of which is a stationary stochastic process.
T. Pankova, A. Pankov, G. Bruno
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Quasilinear abstract parabolic evolution equations and exponential attractors [PDF]
, 2005 The authors suggest a general strategy for construction of an exponential attractor for a dynamical system determined from the quasilinear abstract parabolic evolution equation \(\frac{dU}{dt}=A(U)U=F(U ...
Aida, Masashi +2 more
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Stability of Stochastic Partial Differential Equations
Axioms, 2023 In this paper, we study the stability of the stochastic parabolic differential equation with dependent coefficients. We consider the stability of an abstract Cauchy problem for the solution of certain stochastic parabolic differential equations in a ...
Allaberen Ashyralyev, Ülker Okur
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MHD Equations in a Bounded Domain
Annales Mathematicae Silesianae, 2021 We consider the MHD system in a bounded domain Ω ⊂ ℝN, N = 2; 3, with Dirichlet boundary conditions. Using Dan Henry’s semigroup approach and Giga–Miyakawa estimates we construct global in time, unique solutions to fractional approximations of the MHD ...
Kania Maria B.
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On a nonlocal problem for parabolic equation with time dependent coefficients
Advances in Difference Equations, 2021 This paper is devoted to the study of existence and uniqueness of a mild solution for a parabolic equation with conformable derivative. The nonlocal problem for parabolic equations appears in many various applications, such as physics, biology. The first
Nguyen Duc Phuong +3 more
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On quasilinear parabolic evolution equations in weighted Lp-spaces II [PDF]
, 2013 Our study of abstract quasi-linear parabolic problems in time-weighted L_p-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low initial regularity.
D. Bothe +6 more
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Galerkin and Runge–Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence [PDF]
, 2011 . We unify the formulation and analysis of Galerkin and Runge–Kutta methods for the time discretization of parabolic equations. This, together with the concept of reconstruction of the approximate solutions, allows us to establish a posteriori ...
A. Lozinski +21 more
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Critical and super-critical abstract parabolic equations
Discrete & Continuous Dynamical Systems - B, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dlotko, Tomasz +2 more
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