弱解 的英文怎麼說
中文拼音 [ruòjiě]
弱解
英文
feeble solution-
If the weak solution can be proved to be unique, it is called the generalized solution.
若能證明弱解是唯一的,則稱之為廣義解。Nonexistences of weak solutions for p - sub - laplacian inequalities on the heisenberg group
不等方程弱解的不存在性Existence and nonexistence of solution for a class nonlinear hyperbolic equation
一類非線性雙曲方程整體弱解的存在性與不存在性The existence and uniqueness of weak solution for a viscous laplacian equation
方程弱解的存在性與唯一性In this article, we give sufficient conditions for the existence of solutions to the vectorial hamilton - jacobi equations with dirichlet boundary condition : obtaining, in addition, an application to the theory of existence of minimizers for a class of non - convex variational problems
本文給出了一類依賴于自變量和未知函數的梯度的向量情況隱式偏微分方程的dirichlet問題的弱解的存在性的充分條件,並將該結果應用到一類非擬凸變分問題中去。In the last part of this chapter, we will summarize the main results of existence, uniqueness and regularity for solution of such kind of problems. in chapter ii, we consider a class of boundary value problem for second order degenerate elliptic equations on a bounded periodic domain ft, which is homeomorphic to the cylindrical surface
使用橢圓正則化方法分別在每個區域上討論dirichlet問題,即先構造輔助問題,並建立輔助問題的能量不等式,然後由緊性推理方法,利用輔助問題的解的某種收斂性來得到原問題的弱解存在性。Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations
第三部分:在一維情形,我們考慮了一類帶導數項的ginzburg ? landau方程,通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計,證明了當粘性系數趨于零時, ginzburg ? landau方程的解逼近相應的帶導數項的schr ( ? ) dinger方程的解,並給出了最優收斂速度估計;在二維情形,我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性,以及在某種特殊情形下, gl方程的解趨近於相應的帶導數項的schr ( ? ) dinger方程的弱解;在一般情形下,我們討論了一類ginzburg ? landau方程的非齊次邊值問題,通過幾個積分恆等式,同時估計解的h ~ 1模及法向導數在邊界上的模,證明了整體弱解的存在性。The existence and uniqueness of weak solution of the flow between two concentric rotating spheres
兩同心旋轉球間流動的弱解的存在唯一性The "optimum" weak form is the one for which the trial and test spaces coincide.
「最優」的弱解是在測試空間和試驗空間重合時得出的。We study in this paper the filtration problem in partially saturated layered porous media in one dimensional. that is the thid problem boundary value problem of on dimensional degenerate quasi - linear elliptic - parabolic equation with discontinuous coeffi - cients. the existence, uniquess of the solutions and some properties of the solution are proved
本文主要討論一維有限雙層多孔介質中部分飽和的滲流問題,即具有間斷系數的一維擬線性橢圓-拋物退化方程的第三邊值問題。證明了該問題的解的存在性、唯一性及弱解的邊界性質。The existence and uniqueness of a weak solution of the nonlinear equations of motion of pipes conveying fluid
輸液管非線性運動方程弱解的存在唯一性By constructing approximate functions and using prior estimate and conversion of variable, it is proved that the inverse problem has weak solution for given initial value, boundary value and the oil output
通過變量和函數變換,作逼近函數和估計等方法,證明了對給定的初邊值和石油產量,此反問題存在弱解。Eventually, one may remove the large parameter a from the auxiliary problems by fredholm - riesz - schauder theory and extremal principle. thus the well - posedness and the regularity of the original problem will be obtained in a standard way. for the sake of convenience, we introduce some symbols
最後,利用跡定理和局部化技巧可以把問題在每個區域上的解拼起來,從而得到該類問題在整個一般區域上的hl弱解存在唯一性及解的高階正則性和高階模估計In chapter 6, we study existence of the weak solutions for a class of the nonlinear dirichlet problems on h " and estimates of the eigenvalues about the subelliptic operators on heisenberg group
最後,我們在heisenberg群上研究幾類半線性次橢圓方程的弱解存在性問題和幾類次橢圓運算元的特徵估計問題。Existence and its uniqueness of weak solution of elliptic equation
橢圓型方程弱解的存在與唯一性Regularity of weak solutions to a class of degenerate elliptic equations
一類退縮的橢圓型方程弱解的正則性The degenerate elliptic problems we shall study is very closely related to rigidity problems arising from infinitesimal isometric deformation, as well as other geometry problem, such as minimal surface in hyperbolic space. in particular, the existence of solution with high order regularity is very important to investigate geometry problems. one would like to know under what conditions the solution of such equations are as smooth as the given data
通過構造輔助邊值問題,建立了各種能量不等式,並利用這些先驗估計,以及banach - saks定理得到了h ~ 1弱解存在性;利用退化橢圓型方程弱解與強解的一致性和已知的先驗估計,還得到h ~ 1弱解的唯一性。Very weak solutions for obstacle problems of weighted a - harmonic equation
一類加權橢圓方程障礙問題的很弱解Interior regularity of weak solutions to nonlinear elliptic obstacle problems
非線性橢圓障礙問題弱解的內部正則性Zeros for the gradients of very weak solutions of a class of elliptic equation of divergence type
一類散度型橢圓方程很弱解梯度的零點分享友人