共查询到20条相似文献,搜索用时 31 毫秒
1.
2.
3.
4.
In this paper we study the existence of distributional solutions of Dirichlet problems whose simplest example is 相似文献
5.
6.
7.
8.
9.
10.
11.
12.
13.
We prove the so-called conjecture: for every real-monic polynomial of degree there exists an n by n matrix with sign patternwhose characteristic polynomial is . The proof converts the problem of determining the nonsingularity of a certain Jacobi matrix to the problem of proving the non-existence of a nonzero matrix B that commutes with a nilpotent matrix with sign pattern and has zeros in positions , and for . 相似文献
14.
Let F be a field of characteristic and G be a smooth finite algebraic group over F. We compute the essential dimension of G at p. That is, we show that 相似文献
15.
16.
The quasilinear chemotaxis–haptotaxis system is considered under homogeneous Neumann boundary conditions in a bounded and smooth domain . Here , and , for all with some and for all . It is shown that if the ratio is sufficiently small, then the system possesses a unique global classical solution that is uniformly bounded. Our result is independent of m. 相似文献
17.
18.
19.
Michael Winkler 《Journal of Differential Equations》2018,264(10):6109-6151
A class of chemotaxis-Stokes systems generalizing the prototype is considered in bounded convex three-dimensional domains, where is given.The paper develops an analytical approach which consists in a combination of energy-based arguments and maximal Sobolev regularity theory, and which allows for the construction of global bounded weak solutions to an associated initial-boundary value problem under the assumption that
(0.1)
Moreover, the obtained solutions are shown to approach the spatially homogeneous steady state in the large time limit.This extends previous results which either relied on different and apparently less significant energy-type structures, or on completely alternative approaches, and thereby exclusively achieved comparable results under hypotheses stronger than (0.1). 相似文献
20.
Müfit Şan 《Comptes Rendus Mathematique》2018,356(3):293-300
The first aim of this work is to establish a Peano-type existence theorem for an initial value problem involving a complex fractional derivative, and then, as a consequence of this theorem, to give a partial answer for the local existence of the continuous solution to the initial value problem: Moreover, for some special cases of the problem, we investigate the corresponding geometric properties of the solutions. 相似文献