共查询到20条相似文献,搜索用时 31 毫秒
1.
J. Spiliotis 《Applied Mathematics and Optimization》1997,35(3):265-282
The complex parabolic type Monge-Ampère equation we are dealing with is of the form
inB × (0,T),u=ϕ on Γ, whereB is the unit ball in ℂ
d
,d>1, and Γ is the parabolic boundary ofB × (0,T). Solutionu is proved unique in the class
. 相似文献
2.
3.
A. Arkhipova 《Journal of Mathematical Sciences》2011,176(6):732-758
We prove the existence of a global heat flow u : Ω ×
\mathbbR+ ? \mathbbRN {\mathbb{R}^{+}} \to {\mathbb{R}^{N}}, N > 1, satisfying a Signorini type boundary condition u(∂Ω ×
\mathbbR+ {\mathbb{R}^{+}}) ⊂
\mathbbRn {\mathbb{R}^{n}}),
n \geqslant 2 n \geqslant 2 , and
\mathbbRN {\mathbb{R}^{N}}) with boundary ∂
[`(W)] \bar{\Omega } such that φ(∂Ω) ⊂
\mathbbRN {\mathbb{R}^{N}} is given by a smooth noncompact hypersurface S. Bibliography: 30 titles. 相似文献
4.
We consider solutions ψ to equations of the form
in a sector Ω ofR
2. The basic assumptions are that the limitsa
ij(x)→δij,b
i(x)→0,c
i→E at infinity are achieved at certain rates and thatg decays faster than ψ. We then discuss the possible patterns of exponential decay for ψ in Ω.
NSERC University Research Fellow.
Research partially supported by USNEF grant MCS-83-01159. 相似文献
5.
T. V. Malovichko 《Ukrainian Mathematical Journal》2009,61(3):435-456
We prove an analog of the Girsanov theorem for the stochastic differential equations with interaction
dz( u,t ) = a( z( u,t ),mt )dt + ò\mathbbR f( z( u,t ) - p )W( dp,dt ), dz\left( {u,t} \right) = a\left( {z\left( {u,t} \right),{\mu_t}} \right)dt + \int\limits_\mathbb{R} {f\left( {z\left( {u,t} \right) - p} \right)W\left( {dp,dt} \right)}, 相似文献
6.
Abdelmajid Siai 《Potential Analysis》2006,24(1):15-45
Let Ω be an open bounded set in ℝN, N≥3, with connected Lipschitz boundary ∂Ω and let a(x,ξ) be an operator of Leray–Lions type (a(⋅,∇u) is of the same type as the operator |∇u|p−2∇u, 1<p<N). If τ is the trace operator on ∂Ω, [φ] the jump across ∂Ω of a function φ defined on both sides of ∂Ω, the normal derivative
∂/∂νa related to the operator a is defined in some sense as 〈a(⋅,∇u),ν〉, the inner product in ℝN, of the trace of a(⋅,∇u) on ∂Ω with the outward normal vector field ν on ∂Ω. If β and γ are two nondecreasing continuous real functions everywhere
defined in ℝ, with β(0)=γ(0)=0, f∈L1(ℝN), g∈L1(∂Ω), we prove the existence and the uniqueness of an entropy solution u for the following problem,
7.
José M. Isidro 《Proceedings Mathematical Sciences》2009,119(5):635-645
Consider the space C0(Ω) endowed with a Banach lattice-norm ‖ · ‖ that is not assumed to be the usual spectral norm ‖ · ‖∞ of the supremum over Ω. A recent extension of the classical Banach-Stone theorem establishes that each surjective linear
isometry U of the Banach lattice (C
0(Ω), ‖ · ‖) induces a partition Π of Ω into a family of finite subsets S ⊂ Ω along with a bijection T: Π → Π which preserves cardinality, and a family [u(S): S ∈ Π] of surjective linear maps u(S): C(T(S)) → C(S) of the finite-dimensional C*-algebras C(S) such that
|