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Rabah Labbas Ahmed Medeghri Boubaker-Khaled Sadallah 《Applied mathematics and computation》2002,130(2-3):511-523
We prove the optimal regularity, in Sobolev spaces, of the solution of a parabolic equation set in a triangular domain T. The right-hand term of the equation is taken in Lebesgue space Lp(T). The method of operators sums in the non-commutative case is referred to. 相似文献
2.
As a continuation of Sadallah et al. work (M. Sadallah, S. Muslih and D. Baleanu, Equations of motion for Einstein’s field
in non-integer dimensional space. Czechoslov. J. Phys. 56:323, 2006), the fractional action function S is given as an integration over fractional spatial dimension D
s
and fractional time D
t
dimension. The variational principle which minimize S leads to Euler-Lagrange equations of motion in D
s
+D
t
fractional dimensions. As an example we extend our study to obtain the equations of motion for Einstein’s field in fractional
D
s
+D
t
fractional dimensions of N+1 space-time coordinates. It is shown that the time dependent solutions are single valued for only D
s
=4 dimensional space. Also the angular solutions are convergent for any value of D
s
. 相似文献
3.
Equations of motion for Einstein’s field in fractional dimension of 4 spatial coordinates are obtained. It is shown that time
dependent part of Einstein’s wave function is single valued for only 4-integer dimensional space. 相似文献
4.
In this work, we investigate the behavior of the solution of the Cauchy-Dirichlet problem for a parabolic equation set in a three-dimensional domain with edges. We also give new regularity results for the weak solution of this equation in terms of the regularity of the initial data. 相似文献
5.
Belkacem Chaouchi Rabah Labbas Boubaker-Khaled Sadallah 《Mediterranean Journal of Mathematics》2013,10(1):157-175
In this paper, we give new results about existence, uniqueness and regularity properties for solutions of Laplace equation $$\Delta u = h \quad {\rm in} \, \Omega$$ where Ω is a cusp domain. We impose nonhomogeneous Dirichlet conditions on some part of ?Ω. The second member h will be taken in the little Hölder space ${h^{2 \sigma}(\bar{\Omega})}$ with ${\sigma \, \in \, ]0, \, 1/2[}$ . Our approach is based essentially on the study of an abstract elliptic differential equation set in an unbounded domain. We will use the continuous interpolation spaces and the generalized analytic semigroup theory. 相似文献
6.
The differential pulse polarographic behaviour in dimethyl sulphoxide (DMSO) of 14 organotin(IV) compounds having the general formula R3SnX (R = Me, Ph; X? = NCS?, N3?, N3?, NO3?, OH?, NCO? and OAc?) and nBu3SnCl and nBu2SnCl2 has been studied. The peak potential was found to depend markedly on the organic group and to a lesser extent on the nature of the anion X. The phenyltin compounds were reduced at lower potentials than the corresponding methyltin compounds. The data obtained could be used for trace determination of these compounds. Linear calibration curves were obtained over the concentration range of 2.8 × 10?4 to 1.9 × 10?6 mol dm?3. 相似文献
7.
Arezki Kheloufi Boubaker‐Khaled Sadallah 《Mathematical Methods in the Applied Sciences》2014,37(12):1807-1818
This paper is devoted to the analysis of the N‐space dimensional heat equation, subject to Cauchy–Dirichlet boundary conditions. The problem is set in a symmetric conical type domain. More precisely, we look for sufficient conditions on the lateral boundary of the domain, as weak as possible in order to obtain the maximal regularity of the solution in an anisotropic Hilbertian Sobolev space. For this purpose, the domain decomposition method is employed. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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