Extension problems for accretive sets in Banach spaces

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Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups

Basic Functional Analysis.- Existence of Minimizers.- Convex Analysis and Subdifferential Calculus.- Examples.- Problem-solving Strategies.- Keynote Iterative Methods.

Convex Optimization in Normed Spaces: Theory, Methods and Examples

This paper proves the existence of an evolution operatorU(t, s)x
 0 corresponding to a weak or generalized solution of the differential equation:du (t)/dt +A (t)u(t) ∋ f(t), u(s) =x
 0,t ≧ s; the operatorsA(t) are eachm-accretive in a Banach spaceX and, loosely speaking, have an “L1 modulus of continuity” int. The continuity and differentiability properties ofU(t, s)x0 are investigated, and some simple examples are presented.

Nonlinear evolution equations in an arbitrary Banach space

Set-Valued Variational Inclusions in Banach Spaces

/pdf/difference-approximation-of-evolution-equations-and-3n4qz6ic05.pdf

Difference Approximation of Evolution Equations and Generation of Nonlinear Semigroups

/pdf/on-approximation-of-nonlinear-semi-groups-3szf65qq21.pdf

On approximation of nonlinear semi-groups

/pdf/a-note-on-cauchy-problems-of-semi-linear-equations-and-semi-v031hmzzse.pdf

Yoshikazu Kobayashi

Papers

Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups

Difference Approximation of Evolution Equations and Generation of Nonlinear Semigroups

On approximation of nonlinear semi-groups

A Note on Cauchy Problems of Semi-linear Equations and Semi-groups in Banach Spaces