论文标题
$ l^p（\ mathbb r^d; \ mathbb r^m）$与强耦合椭圆运算符相关的半群生成
Generation of semigroups associated to strongly coupled elliptic operator in $L^p(\mathbb R^d;\mathbb R^m)$
论文作者
论文摘要
在Lebesgue Space $ l^p（\ Mathbb r^d; \ Mathbb r^m）$中，与$ p \ in（1，\ infty）$中的$ p \提供了足够的条件（为$ c__s $ c_s $ c_s $ c_s $ c _s $ c _semigr提供了足够的条件。在进一步的假设下，给出了无限发生器的域的表征。
A class of vector-valued elliptic operators with unbounded coefficients, coupled up to the second-order is investigated in the Lebesgue space $L^p(\mathbb R^d;\mathbb R^m)$ with $p \in (1,\infty)$, providing sufficient conditions for the generation of an analytic $C_0$-semigroup $T(t)$. Under further assumptions, a characterization of the domain of the infinitesimal generator is given.
