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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlocal Filtration Equations on the Heisenberg group
海森堡群 非局部 滤波方程
2023/4/28
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Nonlocal Filtration Equations on the Heisenberg group
海森堡群 非局部 滤波方程
2023/5/4
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
Linear estimates for solutions of quadratic equations in free groups
Linear estimates solutions of quadratic equations Group Theory
2011/9/6
Abstract: We prove that in a free group the length of the value of each variable in a minimal solution of a standard quadratic equation is bounded by $2s$ for orientable equation and by $12s^4$ for no...
A polynomial bound on solutions of quadratic equations in free groups
polynomial bound quadratic equations free groups Group Theory
2011/8/31
Abstract: We provide polynomial upper bounds on the size of a shortest solution for quadratic equations in a free group. A similar bound is given for parametric solutions in the description of solutio...
Variables separated equations: Strikingly different roles for the Branch Cycle Lemma and the Finite Simple Group Classification
group representations normal varieties Galois strati cation
2011/2/25
H. Davenport's Problem asks: What can we expect of two polynomials,over Z, with the same ranges on almost all residue class elds?This stood out among many separated variable problems posed by Davenpo...
Galois theory of difference equations with periodic parameters
Difference Galois theory q-difference equations Jacobi’s thetafunction sequences
2010/11/30
We develop a Galois theory for systems of linear difference equations with periodic parameters, for which we also introduce linear difference algebraic groups.We then apply this to constructively test...
Exponential decay of semigroups for second order non-selfadjoint linear differential equations
Accretive operator sectorial operator C0-semigroup
2011/1/20
The Cauchy problem for second order linear differential equation u′′(t) + Du′(t) + Au(t) = 0
in Hilbert space H with a sectorial operator A and an accretive operator D is studied. Sufficient conditio...
Asymptotic Analysis of Singularly Perturbed Abstract Evolution Equations in Banach and Hilbert Spaces
Singular Perturbation Asymptotic Expansion Banach space semigroup evolution equation Initial Layer Corrector radiative transfer neutron transport
2010/3/1
In the current paper, we are concerned with the study of abstract linear evolution equations in Banach spaces in which the time derivative term is multiplied by a small parameter, say e. Such equation...