摘要
讨论形如ｄｕ／ｄｔ＝－Ａｎｕ（ｔ）＋Ｆ（ｔ，ｕ（ｔ）），ｕ０＝φ的非齐抛物型发展方程解的适定性与其非齐次项的关系，其中ｎ阶广义微分算子－Ａｎ为强连续半群的无穷小母元．作为应用，我们就二阶情形讨论一类具体的抛物型方程．
The relationship between wellposed solutions and its nonhomogeneous part of Abstract partial differential equations:d u/ d t=-A nu(t)+F(t,(t)),u 0=φ, where differential operator A n of n order is the infinitesimal generator of a strongly continuous semigroup are discussed.And the results obtained are then employed to investigate a class of functional partial differential equations.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
1997年第3期309-314,共6页
Journal of Inner Mongolia University：Natural Science Edition
基金
江苏省归国人员科研基金
关键词
抛物型发展方程
适定性
强解
解
周期解
evolution equations of parabolic type wellposed solution strong solution Holder continuous periodic solution
