A Strong Contractivity Property for Semigroups Generated by Differential Operators
A Strong Contractivity Property for Semigroups Generated by Differential Operators
Frequently, nonconservative semigroups generated by partial differential operators in ${L_{2,\rho }}({R^k})$ have the property that initial conditions which are large at $|x| = \infty$ become immediately small at infinity for all $t > 0$. This property is related to the rate of decay of eigenfunctions of the differential operator. In …