Well-posedness of the Initial Value Problem
Local well-posedness for periodic Benjamin equation with small initial data
... Sharp well-posedness of the Benjamin ...Global well-posedness of the initial value problem associated to the Benjamin ...
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Well posedness of delay parabolic difference equations
... the well-posedness of the difference schemes for the approximate solutions of the initial value problem for delay parabolic equations with unbounded op- erators acting on delay terms in ...
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A note on well posedness of semilinear reaction diffusion problem with singular initial data
... of initial data from the Euclidean space to a functional space and the space of bounded functions is one of many possible ...for initial data in much larger spaces then the space of bounded ...
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3 Well-posedness of the control problem
... control problem (COCP) for quasilinear parabolic ...optimization problem (UOCP) by applying the exterior penalty function ...considered problem are ...
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On the well-posedness problem of the electrorheological fluid equations
... boundary value condition ...boundary value condition, we would pay a close attention on the stability of the weak solutions without any boundary value ...
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Well-posedness of a boundary value problem for a class of third-order operator-differential equations
... the well-posedness of a boundary value problem on the semiaxis for a class of third-order operator-differential equations whose principal part has multiple real ...boundary value ...
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Well-posedness of an epidemiological problem described by an evolution PDE
... Abstract. This paper investigates the well-posedness for a non linear transport equation system that models the spread of prion diseases in a managed flock. Existence and uniqueness of solutions are proved ...
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Towards the modelling of the Purkinje/ myocardium coupled problem: A well-posedness analysis
... The coupling is performed through the extracellular potential. We discretize the problem in time using a semi-implicit scheme. Then, we write a variational formulation of the semi discrete problem in a non ...
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Well posedness for the diffusive 3D Burgers equations with initial data in H^1/2
... Stokes equations, which motivates our choice of function spaces here. It is interesting to note that we find some essential difficulties in treating this system which do not occur when incompressibility is enforced, i.e. ...
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Sharp well-posedness of the Cauchy problem for a generalized Ostrovsky equation with positive dispersion
... Theorem 1.2 Let s < 1 4 and β > 0 and γ > 0. Then the problems (1.4), (1.5) are not well- posed in H s (R) in the sense that the solution map is C 3 . The rest of the paper is arranged as follows. In Section 2, we ...
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The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition
... Cencelj and Repov˘s studied the perturbation by a critical term and a superlinear subcrit- ical nonlinearity of a quasilinear elliptic equation containing a singular potential in []. By means of variational arguments ...
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Reducing Initial Value Problem and Boundary Value Problem to Volterra and Fredholm Integral Equation and Solution of Initial Value Problem Habeeb Khudhur Kadhim
... 𝒖 𝒏 (𝒙) = 𝒇(𝒙) + ∫ 𝑲(𝒙, 𝒕)𝑭(𝒖(𝒕))𝒅𝒕 𝟎 𝒙 (II.62) where 𝑢 (𝑖) (𝑥) = 𝑑 𝑑𝑥 𝑖 𝑢 𝑖 , and 𝐹(𝑢(𝑥)) is a nonlinear function of 𝑢(𝑥). Because the equation in (II.62) combines the differential operator and the integral operator ...
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Well-posedness of fractional parabolic equations
... this problem in spaces of smooth functions is ...this problem is presented. The well-posedness of the difference scheme in difference analogues of spaces of smooth functions is ...
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Well-posedness and scalarization in vector optimization
... The classification proposed here essentialy groups the definitions into two main classes: pointwise and global well-posedness. The definitions of the first group consider a fixed efficient point (or the ...
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Well-posedness and scalarization in vector optimization
... The classification proposed here essentialy groups the definitions into two main classes: pointwise and global well-posedness. The definitions of the first group consider a fixed efficient point (or the ...
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The Initial Boundary Value Problem of a Parabolic System
... can be extended to the general systems of n equations. In this paper, we consider some special cases by stating some method of regularization to construct a sequence of approximation solutions with the help of monotone ...
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Initial value problem for fractional evolution equations
... Abstract This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are ...
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A Finite Element Scheme for an Initial Value Problem
... as well as a corresponding variational principle at element level are ...the initial variational problem into a finite number of varia- tional problems, one for each element, is ...critical ...
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CONSIDER the following initial-boundary value problem
... Abstract—In this paper, numerical solution for the generalized Rosenau-Burgers equation is considered and Crank-Nicolson finite difference scheme is proposed.. Existence of the solutions [r] ...
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On the well-posedness of generalized Darcy–Forchheimer equation
... Theorem 1.1 Provided b ∈ L d+(m+1) d(m+1) () and g ∈ L (d–1)(m+1) d () satisfy (4), Problem (2)–(4) has a unique solution (u, p), with u ∈ [L m+1 ()] d and p ∈ W 1, m+1 m () ∩ L 2 0 (). The remainder of the ...
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