Sobolev

常见例句

Existence and uniqueness are proved by Lax-Milgram theorem for a type of degenerate divergence elliptic equation in a type of Sobolev spaces with weight, and also the regularity will be studied.
先用Lax-Milgram定理证明一类退化散度型椭圆型方程在带权Sobolev空间中弱解的存在唯一性,然后证明解的正则性。
In this paper we consider the existence of positive solutions and multiple solutions (possible not positive) of the semilinear elliptic equation with convex and concave nonlinearities, and critical Sobolev exponent.
本文考虑具有凹凸非线性和临界Sobolev指数的半线性椭圆方程的正解和多重解(可能非正)的存在性。
This method has more advantages than polynomial interpolation and spline interpolation.When a node is increased each time, the approximate error decreases monotonically in the meaning of Sobolev norm.
与多项式插值、样条插值相比，每增加一个节点，逼近误差在索伯列夫范数意义下单调下降；
Sobolev interpolation inequality
Sobolev插值不等式
Musielak - Orlicz - Sobolev spaces
Musielak-Orlicz-Sobolev空间
convection-dominated Sobolev equation
对流占优Sobolev方程