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排序方式: 共有1495条查询结果,搜索用时 0 毫秒
91.
We give general conditions on a generator of a C0-semigroup (resp. of a C0-resolvent) on Lp(E,μ), p ≥ 1, where E is an arbitrary (Lusin) topological space and μ a σ-finite measure on its Borel σ-algebra, so that it generates a sufficiently
regular Markov process on E. We present a general method how these conditions can be checked in many situations. Applications to solve stochastic differential
equations on Hilbert space in the sense of a martingale problem are given.
Dedicated to Giuseppe Da Prato on the occasion of his 70th birthday 相似文献
92.
Jie Xiao 《Journal of Differential Equations》2006,224(2):277-295
Let u(t,x) be the solution of the heat equation (∂t-Δx)u(t,x)=0 on subject to u(0,x)=f(x) on Rn. The main goal of this paper is to characterize such a nonnegative measure μ on that f(x)?u(t2,x) induces a bounded embedding from the Sobolev space , p∈[1,n) into the Lebesgue space , q∈(0,∞). 相似文献
93.
Dagmar Medková 《Integral Equations and Operator Theory》2006,54(2):235-258
The third problem for the Laplace equation is studied on an open set with Lipschitz boundary. The boundary condition is in
Lp and it is fulfilled in the sense of the nontangential limit. The existence and the uniqueness of a solution is proved and
the solution is expressed in the form of a single layer potential. For domains with C1 boundary the explicit solution of the problem is calculated. 相似文献
94.
Hany M. El-Hosseiny 《Potential Analysis》2006,25(2):131-145
We prove general boundary limit theorems of abelian type for quotients of functions defined in the half space . The functions considered are defined as convolutions of a kernel with Borel measures defined on the boundary . Our theorems are of the form
where the approach to the limit in question is either non-tangential (Theorems 3.4 and 3.3), or radial (Theorem 3.2). The key feature is the relation of subordination in the sense of Bochner between the two kernels and . Our results generalize many known ones, such as the abelian theorem of Doob and that of Armitage for relative harmonic functions, and the results of Watson and Doob for Parabolic functions. 相似文献
95.
Marco A. López Andrea B. Ridolfi Virginia N. Vera de Serio 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(3):1461-1482
In this paper, we apply the concept of coderivative and other tools from the generalized differentiation theory for set-valued mappings to study the stability of the feasible sets of both the primal and the dual problem in infinite-dimensional linear optimization with infinitely many explicit constraints and an additional conic constraint. After providing some specific duality results for our dual pair, we study the Lipschitz-like property of both mappings and also give bounds for the associated Lipschitz moduli. The situation for the dual shows much more involved than the case of the primal problem. 相似文献
96.
Alexander Sakhnovich 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(2):964-974
Initial-boundary value problems for sine-Gordon and complex sine-Gordon equations in a semi-strip are treated. The evolution of the Weyl function and a uniqueness result are obtained for the complex sine-Gordon equation. The evolution of the Weyl function as well as an existence result and a procedure to recover solution are given for the sine-Gordon equation. It is shown that for a wide class of examples the solutions of the sine-Gordon equation are unbounded in the quarter-plane. 相似文献
97.
R. Naz 《Applied Mathematics Letters》2012,25(3):257-261
This paper is an application of the variational derivative method to the derivation of the conservation laws for partial differential equations. The conservation laws for (1+1) dimensional compacton k(2,2) and compacton k(3,3) equations are studied via multiplier approach. Also the conservation laws for (2+1) dimensional compacton Zk(2,2) equation are established by first computing the multipliers. 相似文献
98.
Rene L. Schilling 《Integral Equations and Operator Theory》2001,41(1):74-92
Let (A, D(A)) denote the infinitesimal generator of some strongly continuous sub-Markovian contraction semigroup onL
p
(m), p1 andm not necessarily -finite. We show under mild regularity conditions thatA is a Dirichlet operator in all spacesL
q
(m), qp. It turns out that, in the limitq,A satisfies the positive maximum principle. If the test functionsC
c
D(A), then the positive maximum principle implies thatA is a pseudo-differential operator associated with a negative definite symbol, i.e., a Lévy-type operator. Conversely, we provide sufficient criteria for an operator (A, D(A)) onL
p(m) satisfying the positive maximum principle to be a Dirichlet operator. If, in particular,A onL
2
(m) is a symmetric integro-differential operator associated with a negative definite symbol, thenA extends to a generator of a regular (symmetric) Dirichlet form onL
2
(m) with explicitly given Beurling-Deny formula. 相似文献
99.
100.