
doi: 10.1007/bf02760465
This paper contains two new characterizations of generators of analytic semigroups of linear operators in a Banach space. These characterizations do not require use of complex numbers. One is used to give a new proof that strongly elliptic second order partial differential operators generate analytic semigroups inL p , 1
elliptic differential operators, Groups and semigroups of linear operators, Second-order elliptic equations, analytic semigroups, Initial value problems for linear higher-order PDEs, Semigroups of nonlinear operators, parabolic evolution equations, Higher-order parabolic equations
elliptic differential operators, Groups and semigroups of linear operators, Second-order elliptic equations, analytic semigroups, Initial value problems for linear higher-order PDEs, Semigroups of nonlinear operators, parabolic evolution equations, Higher-order parabolic equations
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