3 citations · 4 across the 11 of their papers we have counts for
11 papers
Extended groups of semigroups and backward problems of heat equations
M. Arisawa
In this paper, we are concerned with backward solvabilities of heat equations, in an abstract framework. We show that semigroups in Banach spaces , generated by heat opera…
Quasi-periodic and almost periodic homogenizations of integro-differential equations with Levy operators
M. Arisawa
In this paper, we studied quasi-periodic and almost periodic homogenizations of integro-differential equations with Levy operators, which contain alpha stable Levy densities. This…
Homogenization of a class of integro-differential equations with L{é}vy operators
M. Arisawa
The periodic homogenization problem of integro-differential equations of the alpha stable L{é}vy operators is studied in this paper. Thanking to the symmetry of the L{é}vy density,…
An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities
M. Arisawa
A uniform gradient for functions u which satisfy a system of N second-order partial differential inequalities is given in this paper. Some structure conditions are given for the co…
Multiscale Homogenizations for first-order Hamilton-Jacobi-Bellman Equations
M. Arisawa
The quasi-periodic homogenization for some classes of first-order Hamilton-Jaconi-Bellman equation is studied in this paper. The cell problem of the quasi-periodic homogenization s…
A localization of the L{é}vy operators arising in mathematical finances
M. Arisawa
The comparison principle and the existence of the solution of the integro-differential equation with L{é}vy operators, in the framework of the viscosity solution, are shown in this…