Maximum principles for ordinary and parital dynamic equations

Speaker: 

Dr Petr Stehlik

Affiliation: 

University of West Bohemia, Pilsen, Czech Republic

Date: 

Wed, 25/02/2009 - 2:00pm

Venue: 

RC-4082

Abstract: 

Motivated by the importance of maximum principles in the theory of partial differential equations and in the numerical analysis, we establish simple maximum principles for basic partial dynamic operators on multidimensional time scales. As in the case of ordinary dynamic operators we reveal a set of results and counterexamples which illustrate the distinct behaviour in continuous and discrete case.

Finally, we provide some immediate consequences and prove uniqueness results to problems involving partial dynamic operators.

School Seminar Series: