Abstract
The study of certain well-posed Cauchy problems for the abstract heat equation leads to the theory of $C_0 $ semi-groups of operators. The relevant saturation theory for the semi-group as a strong approximation process leads to many important results in approximation theory and differential equations. In this paper, we consider a certain class of well-posed Cauchy problems for the abstract wave equation and the solution of them as strong approximation processes for either the initial values of the solution or its derivative. The saturation order for each of these processes is found to be $t^2 $ and the saturation class is characterized in each case.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
