ON BOUNDARY HOLDER GRADIENT ESTIMATES FOR SOLUTIONS TO ¨ THE LINEARIZED MONGEAMPERE EQUATIONS

... Classification of conversion I.4.1 Traditional and occasional conversion  Traditional conversion “Traditional conversion means the type of conversion commonly and traditionally used by the public The words ... existing ones There are many kinds of conversion but I only focus on the conversion relating the names of animals I think this is important...

Ngày tải lên: 11/12/2013, 23:51

... extraction 2- 1 4 Evaporation 2- 1 5 Crystallisation 2- 1 6 Drying 2- 1 7 Adsorption 2- 1 8 Ion exchange 2- 1 9 Chromatographic separations 14 34 39 44 59 76 79 83 98 150 171 181 21 6 22 2 23 1 23 4 23 5 Solutions to Problems ... CHEMICAL ENGINEERING Solutions to the Problems in Chemical Engineering Volumes and Related Butterworth-Heinemann Titles in t...

Ngày tải lên: 01/04/2014, 11:15

... Kilbas, AA: Fractional Integral and Derivative, Theory and Applications Gordon and Breach, Yverdon, Switzerland (1993) Miller, KS, Ross, B: An Introduction to the Fractional Calculus and Fractional ... nonlocal fractional boundary value problem Nonlinear Anal 72, 916–924 (2010) doi:10.1016/j.na.2009.07.033 17 Zhang, S: Existence of solution for a boundary value...

Ngày tải lên: 20/06/2014, 22:20

... doi:10.1016/j.cam.2006.05.038 doi:10.1186/1687-1847-2011-30 Cite this article as: Zheng: Qualitative and quantitative analysis for solutions to a class of Volterra-Fredholm type difference equation Advances ... handy tools in the study of qualitative and quantitative properties of solutions of certain difference equations In [2], Ma generalized the discre...

Ngày tải lên: 21/06/2014, 00:20

... Kilbas, AA: Fractional Integral and Derivative, Theory and Applications Gordon and Breach, Yverdon, Switzerland (1993) Miller, KS, Ross, B: An Introduction to the Fractional Calculus and Fractional ... nonlocal fractional boundary value problem Nonlinear Anal 72, 916–924 (2010) doi:10.1016/j.na.2009.07.033 17 Zhang, S: Existence of solution for a boundary value...

Ngày tải lên: 21/06/2014, 00:20

... time behavior of solutions of a semilinear parabolic equation with a nonlinear dynamical boundary condition,” in Topics in Nonlinear Analysis, vol 35 of Progr Nonlinear Differential Equations Appl., ... Cavalcanti, V N D Cavalcanti, R Fukuoka, and J A Soriano, “Asymptotic stability of the wave equation on compact surfaces and locally distributed damping a sha...

Ngày tải lên: 21/06/2014, 11:20

... for all ω ∈ Lp B, Λl , ≤ p < ∞, here T is a homotopy operator, for its definition, see Then, we introduce some A-harmonic equations In this paper we consider solutions to the nonhomogeneous A-harmonic ... 2 Journal of Inequalities and Applications equations These results can be used to study the basic properties of the solutions to the nonhomogeneous A-harmonic...

Ngày tải lên: 21/06/2014, 20:20

... 11 L C Berselli and G P Galdi, Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations, ” Proceedings of the American Mathematical Society, vol 130, no ... proposed the following criterion in terms of the gradient of ∇π ∈ Lr 0, T ; Ls R3 with s r 3, < s ≤ ∞ ∞ We will use the following The aim of this paper is...

Ngày tải lên: 22/06/2014, 02:20

... where C1 , C2 are positive constants, ≤ γ ∈ C Ω The operator − p x u −div |∇u |p x −2 ∇u is called p x -Laplacian Especially, if p x ≡ p a constant , P is the well-known p- Laplacian problem see 16–18 ... Preliminary In order to deal with p x -Laplacian problems, we need some theories on spaces Lp x Ω and W 1 ,p x Ω , and properties of p x -Laplac...

Ngày tải lên: 22/06/2014, 06:20

... where C1 , C2 are positive constants, ≤ γ ∈ C Ω The operator − p x u −div |∇u |p x −2 ∇u is called p x -Laplacian Especially, if p x ≡ p a constant , P is the well-known p- Laplacian problem see 16–18 ... Preliminary In order to deal with p x -Laplacian problems, we need some theories on spaces Lp x Ω and W 1 ,p x Ω , and properties of p x -Laplac...

Ngày tải lên: 22/06/2014, 18:20

... 2 Upper bound to perturbed DLE been a lot of results obtained on this aspect and we refer to the survey paper [3] and references therein The estimation on the solutions of discrete Lyapunov ... definite solutions P to (1.1) and P < X The proof is completed Remark 2.9 From the relations between the solution of the perturbed discrete Lyapunov equation an...

Ngày tải lên: 22/06/2014, 22:20

... Lieberman, Gradient estimates for anisotropic elliptic equations, ” Advances in Differential Equations, vol 10, no 7, pp 767–812, 2005 [16] G M Lieberman, Interior gradient bounds for nonuniformly parabolic ... Lieberman, “Maximum estimates for solutions of degenerate parabolic equations in divergence form,” Journal of Differential Equations, vol 113, no 2, pp 543–571,...

Ngày tải lên: 22/06/2014, 22:20

... Growth lemmas originate from methods of Landis [13] They were essentially used in the proof of the interior Harnack inequality for solutions to elliptic and parabolic equations in the non-divergence ... belongs to W2 (Ω), and has compact support in Ω ∩ B4r By approximation, we can put φ0 in place of φ in the inequality (2.1) corresponding to Lu ≤ in Ω, that i...

Ngày tải lên: 22/06/2014, 22:20

... property and a Harnack inequality for weighted p-harmonic functions In the section 3, we prove the theorem 1.2 The proof the theorem 1.5 is given in the section 4 Local gradient estimates for weighted ... shown gradient estimates and entropy formulae for weighted p-heat equations Their works generalized Li’s and Kotschwar-Ni’s results (see [16, 11]) In this paper...

Ngày tải lên: 14/10/2015, 07:50

... estimates for solutions to the linearized Monge–Amp`ere equations, arXiv:1209.1998v2 [math.AP] [5] Le, N Q.; Savin, O Boundary regularity for solutions to the linearized Monge-Amp`ere equations, ... is the exponent in our previous boundary H¨older gradient estimates (see Theorem 2.1) Theorem 1.1 extends our previous boundary H¨older gradient estimates...

Ngày tải lên: 16/10/2015, 09:28