Degenerate differential operators with parameters.
Dependence of a weak solution of the first order differential equation on a parameter.
Derivative of the norm of a linear mapping and its application to differential equations
In this paper the notion of the derivative of the norm of a linear mapping in a normed vector space is introduced. The fundamental properties of the derivative of the norm are established. Using these properties, linear differential equations in a Banach space are studied and lower and upper estimates of the norms of their solutions are derived.
Differential Equations in Operator Algebras. I. Invariance of the Siegel Disk.
Differential operators with non dense domain
Differential subordination results for new classes of the family .
Diffusion phenomenon for second order linear evolution equations
We present an abstract theory of the diffusion phenomenon for second order linear evolution equations in a Hilbert space. To derive the diffusion phenomenon, a new device developed in Ikehata-Matsuyama [5] is applied. Several applications to damped linear wave equations in unbounded domains are also given.
Discrete methods and exponential dichotomy of semigroups.