Microlocal boundary value problem in higher codimensions
نویسندگان
چکیده
منابع مشابه
Selfcoincidences in Higher Codimensions
When can a map between manifolds be deformed away from itself? We describe a (normal bordism) obstruction which is often computable and in general much stronger than the classical primary obstruction in cohomology. In particular, it answers our question completely in a large dimension range. As an illustration we give explicit criteria in three sample settings: projections from Stiefel manifold...
متن کاملRiemann Boundary Value Problem for Triharmonic Equation in Higher Space
We mainly deal with the boundary value problem for triharmonic function with value in a universal Clifford algebra: Δ(3)[u](x) = 0, x ∈ R (n)\∂Ω, u (+)(x) = u (-)(x)G(x) + g(x), x ∈ ∂Ω, (D (j) u)(+)(x) = (D (j) u)(-)(x)A j + f j (x), x ∈ ∂Ω, u(∞) = 0, where (j = 1,…, 5) ∂Ω is a Lyapunov surface in R (n) , D = ∑ k=1 (n) e k (∂/∂x k) is the Dirac operator, and u(x) = ∑ A e A u A (x) are unknown ...
متن کاملPositive Solutions of a Nonlinear Higher Order Boundary-value Problem
The authors consider the higher order boundary-value problem u(t) = q(t)f(u(t)), 0 ≤ t ≤ 1, u(i−1)(0) = u(n−2)(p) = u(n−1)(1) = 0, 1 ≤ i ≤ n− 2, where n ≥ 4 is an integer, and p ∈ (1/2, 1) is a constant. Sufficient conditions for the existence and nonexistence of positive solutions of this problem are obtained. The main results are illustrated with an example.
متن کاملHigher order multi-point fractional boundary value problems with integral boundary conditions
In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed...
متن کاملNON-POLYNOMIAL QUARTIC SPLINE SOLUTION OF BOUNDARY-VALUE PROBLEM
Quartic non-polynomial spline function approximation in off step points is developed, for the solution of fourth-order boundary value problems. Using consistency relation of such spline and suitable choice of parameter,we have obtained second, fourth and sixth orders methods. Convergence analysis of sixth order method has been given. The methods are illustrated by some examples, to verify the or...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 1996
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.2280