Priori Estimates
Some Priori Estimates about Solutions to Nonhomogeneous A Harmonic Equations
... We deal with the nonhomogeneous A-harmonic equation d ∗ Ax, g du d ∗ h and the related conjugate A-harmonic equation Ax, g du h d ∗ v. Some priori estimates about solutions to these equations are obtained, ...
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A Priori Estimates of Solution of Parametrized Singularly Perturbed Problem
... Abstract In this paper, we consider a parameterized singularly perturbed second order quasilinear boundary value problem.. Asymptotic estimates for the solution and its first and second [r] ...
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Error Estimations, Error Computations, and Convergence Rates in FEM for BVPs
... a priori estimates only hold in asymptotic range and their derivation in the currently published literature are only valid for self adjoint operators in GM/WF when functional B ( ) ⋅ ⋅ , is symmetric, thus ...
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Existence of global solution for a differential system with initial data in Lp
... Leray’s approximating system for our problem. In Section 4, we state and briefly prove some lemmas similar to those for Navier-Stokes equations. Finally, in Section 5, by es- tablishing a priori estimates ...
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A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis
... a priori estimates for the finite ele- ment ...posteriori estimates. Al- though a posteriori estimates have been intensively studied for the Stokes problems with Dirichlet boundary conditions ...
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The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms
... Abstract In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solutions of a nonlinear viscoelastic wave equation with strong damping, linear da[r] ...
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The obstacle problem for conformal metrics on compact Riemannian manifolds
... Abstract We prove a priori estimates up to their second order derivatives for solutions to the obstacle problem of curvature equations on Riemannian manifolds Mn , g arising from conform[r] ...
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Dynamics and invariant manifolds for a nonlocal stochastic Swift Hohenberg equation
... a priori estimates of the solution for the nonlocal stochastic Swift-Hohenberg equation with pos- itive kernel, and then a global random attractor for the corresponding random dynamical system is ...
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On the Impact of Mutual Coupling Effects on the Psl Performances of Ads Thinned Arrays
... -priori estimates exist nor simple extensions of the ADS array theory have been deduced in the presence of non-ideal radiators when mutual coupling (MC ) effects between the array elements take ...
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A mixed problem with only integral boundary conditions for a hyperbolic equation
... a priori estimates to prove the uniqueness and continuous dependence; these estimates are established by taking the scalar product in L 2 -space of the considered ...
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Fredholm alternative for the second-order singular Dirichlet problem
... holds. The paper is organized as follows. At the end of this section, we state our main results, the proofs of which one can find in Section . In Section , we recall some known results in a suitable for us form. Section ...
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On Optimal Control of Quasi-Linear Elliptic Equation with Variable px -Laplacian
... we have no a priori estimates for the weak solutions in the sense of Minty to the boundary value problem 2–3 [9], [8]; • the asymptotic behaviour of a minimizing sequence to the cost fun[r] ...
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Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient
... We study the existence of positive solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong maximum principle, and ...
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On coupled systems of Hammerstein integral equations
... a priori estimates achieved by nonnega- tive matrices; in [11], Coclite studies the existence of a positive measurable solution of the Hammerstein equation of the first kind with a singular nonlinear term at ...
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Cauchy problem of the generalized Zakharov type system in \(\mathbf{R}^{2}\)
... By using Guo and Shen’s method [], one can prove the existence of a local solution for the periodic initial problem ()-(). Similarly to Zhou and Guo’s proof [], letting D → ∞ , the existence of a local solution for ...
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DISSIPATIVE NUMERICAL METHOD FOR AN OVERHEAD CRANE MODEL WITH A FEEDBACK CONTROL FORCE IN VELOCITY
... The rest of the paper is organized as follows. In Section 2, the well-posedness of the system (1)-(4) is established. Section 3 is devoted to the numerical resolution of (1)-(4) by the method of dissipative finite ...
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A posteriori error control for a quasi continuum approximation of a periodic chain
... We can conclude that, at least in this model problem, both a posteriori error indicators can be used to select meshes that are quasi-optimal for both the deformation gradient and for the energy. In order to obtain ...
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Analysis of an energy based atomistic/continuum approximation of a vacancy in the 2D triangular lattice
... 4.3. W 2,∞ -conforming interpolants. Smoothness of the atomistic solution in the continuum region is one of the key requirements for error estimates in a/c methods [6, 23]. In previous 1D analyses of a/c methods ...
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0 event: Point and Interval Estimates
... probability estimates for an event that has never been observed in a Bernoulli trial series (0-event) are proposed and ...probability estimates for a 0-event are proposed and ...
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Finite Element Analysis of the Ramberg Osgood Bar
... of perturbed convex variational problems in Sobolev spaces (see [7] for details.) We also prove that the solu- tion is bounded in certain Sobolev norms. In Section 3, we derive an error estimates for the ...
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