ALMOST AUTOMORPHIC MILD SOLUTIONS OF HYPERBOLIC EVOLUTION EQUATIONS WITH STEPANOV-LIKE ALMOST AUTOMORPHIC FORCING TERM

被引：0

作者：

Mishra, Indira ^{[1
]}

Bahuguna, Dhirendra ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Almost automorphic; evolution equation; hyperbolic semigroups; extrapolation spaces; interpolation spaces; neutral differential equation; mild solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the existence and uniqueness of almost automorphic solutions to the semilinear parabolic boundary differential equations x'(t) A(m)x(t) + f(t, x(t)), t is an element of R, Lx(t) = phi(t, x(t)), t is an element of R, where A := A(m vertical bar ker) (L) generates a hyperbolic analytic semigroup on a Banach space X, with Stepanov-like almost automorphic nonlinear term, defined on some extrapolated space X alpha-1, for 0 < alpha < 1 and phi takes values in the boundary space delta X.

引用

页数：11

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