Scattering Theory for 4-th Order Differential Operators, I

Submanifold Differential Operators in D-Module Theory I: Schrödinger Operators

For this quarter of century, quantum differential operators in a lower dimensional submanifold embedded or immersed in real n-dimensional euclidean space E n have been studied as physical models, which are realized as restriction of the operators in E n to the submanifold. For this decade, the Dirac operators in the submanifold have been investigated, which are identified with operators of the ...

Submanifold Differential Operators in D-Module Theory I: Schrödinger Operators

For this quarter of century, differential operators in a lower dimensional submanifold embedded or immersed in real n-dimensional euclidean space E n have been studied as quantum mechanical models, which are realized as restriction of the operators in E n to the submanifold. For this decade, the Dirac operators in the submanifold have been investigated in such a scheme , which are identified wi...

Submanifold Differential Operators in D-Module Theory I: Schrödinger Operators

For this quarter of century, quantum differential operators in a lower dimensional submanifold embedded or immersed in real n-dimensional euclidean space E n have been studied as physical models, which are realized as restriction of the operators in E n to the submanifold. For this decade, I have been investigating the Dirac operators in the submanifold, which are identified with operators of t...

An existence result for n^{th}-order nonlinear fractional differential equations

In this paper, we investigate the existence of solutions of some three-point boundary value problems for n-th order nonlinear fractional differential equations with higher boundary conditions by using a fixed point theorem on cones.

Lp SPECTRAL THEORY OF HIGHER-ORDER ELLIPTIC DIFFERENTIAL OPERATORS