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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Regularity of sub-elliptic harmonic map into non-positively curved metric space
亚椭圆谐波 非正曲线 度量空间 规律性
2023/4/28
Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps
Harmonic maps nonlinear elliptic PDE’s regularity of solutions
2011/1/20
We consider nonlocal linear Schr¨odinger-type critical systems of the type 1/4v = v in IR. (1) where is antisymmetric potential in L2(IR, so(m)), v is a IRm valued map and
v denotes the matrix mu...
Oscillator Variations of the Classical Theorem on Harmonic Polynomials
Oscillator Variations Classical Theorem Harmonic Polynomials
2011/1/21
We study two-parameter oscillator variations of the classical theorem on har-monic polynomials, associated with noncanonical oscillator representations of sl(n, F) and o(n, F).
Variation formulas for principal functions (II) Applications to variation for harmonic spans
pseudoconvexity Stein manifold Riemann surface
2011/1/17
For a domain D in Cz with smooth boundary and for a, b ∈ D, a 6= b, we have the circular (radial) slit mapping P(z)(Q(z)) on D such that P(z) − 1 z−a (Q(z) − 1 z−a ) is regular...
Ito diffusions, modified capacity and harmonic measure. Applications to Schrodinger operators
Absolutely continuous spectrum Schr¨odinger operator
2011/2/22
We observe that some special Itˆo diffusions are related to scattering properties of a Schr¨odinger operator on Rd, d 2. We introduce Feynman-Kac type formulae for these stochastic processes wh...