权空间 meaning in English
weight space
Examples
- For the travelling waves ( al ) and ( a2 ) , we consider the distribution of spectra for the linearized operator in some weighted spaces
对行波( a1 )和( a2 ) ，我们在加权空间考虑线性化算子的谱分布情况。 - By introducing weighted space and using the method of priori estimatehe , uniformly compactness are achieved for s ( t ) in weighted space to overcome the noncom - pactness of the classical sobolev embedding in unbounded domain
在加权空间进行先验估计，获得解算子s ( t )在加权空间紧的有界吸收集，从而在加权空间得到整体吸引子的存在性。 - In the second chapter , the kdv type equation on unbounded domain is considered . applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space , the existence of exponential attractor is obtained
在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了无界区域上的kdv型方程，得到了该方程指数吸引子的存在性 - We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors . in section 5 . 3 , the cauchy problem is studied , by using the weighted function space and the interpolating inequality , the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved . in section 5 . 4 , the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied , the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences
第五章，考虑了一类广义耦合的非线性波动方程组，在第二节中讨论了周期初值问题，证明了整体光滑解的存在性和唯一性，得到了整体吸引子，给出了hausdorff维数和分形维数的上界估计；在第三节中讨论了cauchy问题，利用加权函数和加权空间的插值不等式，证明了无界区域上整体吸引子的存在性；在第四节中证明了时间周期解的存在性。 - Chapter 6 , consider a coupled generalized kdv - burgers equation . in section 6 . 2 , we study the initial - boundary value problem in the semi - unbounded domain , the existence of global solutions and global attractors is proved by means of a uniform priori estimate for time . in section 6 . 3 , the cauchy problem by using the weighted space , the existence of the global attractors for a coupled generalized kdv - burgers in an semi - unbounded domain is proved
第六章，考虑了一类广义耦合的kdv - burgers方程，在第二节中讨论了半无界区域上的初边值问题，证明了整体光滑解和整体吸引子的存在性；在第三节中讨论了cauchy问题，利用加权函数和加权空间上的插值8不等式，证明了半无界区域上整体吸引子的存在性。