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Some results on the representations for generalized Drazin inverse of 2X2 matrix
Block matrix Generalized Drazin inverse Schur complement
2011/10/20
Some representations for the Drazin inverse of a block matrix , where and are Drazin invertible, in terms of the Drazin inverses of and are developed under the assumptions that and with the generalize...
An Inverse Stefan Problem Relevant to Boilover: Heat Balance Integral Solutions and Analysis
fire, boilover Stefan problems heat balance integral
2011/1/20
Stefan prob lems rel e vant to burn ing oil-wa ter sys tems are for mu lated. Two mov ing bound ary sub-prob lems are de fined: burn ing liq uid sur face and for ma tion of a dis til la tion (“hot zon...
A further note on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian
p-Laplacian inverse nodal problem Ambarzumyan theorem
2010/11/26
In this note, we extend some results in a previous paper on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian to periodic or anti-periodic boundary conditions, and to L1 potentials...
An inverse theorem for the Gowers $U^{s+1}[N]$-norm
inverse theorem Gowers $U^{s+1}[N]$-norm
2010/12/9
We prove the inverse conjecture for the Gowers Us+1[N]-norm for all s > 3; this is new for s > 3, and the cases s < 3 have also been previously established. More precisely, we establish that if f : [N...
Inverse Scattering for a Schrodinger Operator with a Repulsive Potential
Inverse scattering Repulsive potential
2007/12/11
We consider a pair of Hamiltonians $(H, H_0 )$ on $L^2 ({\Bbb R}^n ),$ where $H_0 = p^2 -x^2$ is a Schr\" odinger operator with a repulsive potential, and $H= H_0 +V(x)$. We show that, under suitable ...