In this paper, we use the adapted periodic unfolding method to study homogenization and corrector problems for parabolic problem in a two-component composite with ε-periodic connected inclusions. The condition imposed on interface is that jump of solution proportional conormal derivative via function order εγ γ ≤ −1. We give results which include those obtained by Jose [Rev. Roum. Math. Pures Appl. 54 (2009) 189–222]. also get results.

In this paper, we study the homogenization and corrector results forthe hyperbolic problem in a two-component composite with$\varepsilon$-periodic connected inclusions. The condition prescribed onthe interface is that jump of solution proportional to theconormal derivatives via function order $\varepsilon^\gamma$($\gamma < -1$). main ingredient proof our theoremsis time-dependent periodic unfolding method two-componentdomains. Our recover those corresponding case [Donato, Faella Monsurrò,...

We present an approximation method for convolution Calderón-Zygmund operators. give a uniform accuracy of the operators on endpoint Triebel-Lizorkin space<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msubsup><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mo>˙</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi>...

In this paper, we consider a two-dimensional integrable and conformal invariant field theory with two Dirac spinors scalar fields. This model has chiral symmetry CP-like symmetry. Moreover, also Neother current depending only on the matter field. At last, bosonize spinor

This paper focuses on the boundedness of convolution-type Calderon-Zygmund operators certain endpoint spaces.We prove Triebel-Lizorkin space F0,q1(2 q ∞) under a weakened regularity condition.The proof relies atomic-molecular decomposition and analysis operator which is based n-dimensional Daubechies wavelet basis.

In this letter, the parafermion fields constructed by current algebra are considered. It is proved that there must be a field with respect to each form of algebra. We also obtain corresponding representation and unitary relation from any

In this paper, we recast the matter part of open superstring star in present a constant B field. By using different coordinate representation is identified with continuous Moyal product functions anti-commuting variables. Fortunately find it does not depend on value

The effective action of chiral QCD2 was studied in two-dimensional non-commutative space-time by using path integral approach. It is shown that vector boson has a mass generation and the Lagrangian contains term corresponding to Wess–Zumino–Witten-like term.

By constructing close one cochain density ${\Omega^1}_{2n}$ in the gauge group space we get WZW effective Lagrangian on high dimensional non-commutative space.Especially consistent anomalies derived from this action four-dimensional coincides with those by L.Bonora etc.