Department of Mathematics2024-11-0920061072-337410.1007/s10958-006-0195-62-s2.0-33744804328https://link.springer.com/article/10.1007/s10958-006-0195-6?utm_source=getftr&utm_medium=getftr&utm_campaign=getftr_pilothttps://hdl.handle.net/20.500.14288/15440This paper is concerned with global in time behavior of solutions for a semilinear, hyperbolic, inverse source problem. We prove two types of results. The first one is a global nonexistence result for smooth solutions when the data is chosen appropriately. The second type of results is the asymptotic stability of solutions when the integral constraint vanishes as t goes to infinity. Bibliography: 22 titles. © 2006 Springer Science+Business Media, Inc.MathematicsJournal Articlehttps://www.scopus.com/inward/record.uri?eid=2-s2.0-33744804328&doi=10.1007%2fs10958-006-0195-6&partnerID=40&md5=2781e91eab34b7190d2ddd1592ff2e8fQ412939