Continuous variation of eigenvalues and Gärding's inequality

✍ Scribed by Jeong Hyeong Park

• Book ID: 104358330
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 223 KB
• Volume: 10
• Category: Article
• ISSN: 0926-2245
• DOI: 10.1016/s0926-2245(99)00009-1

✦ Synopsis

Let IC+ be a smooth I -parameter family of elliptic self-adjoint partial differential operators on u compact tnonifoid without boundary. We use G&ding's inequality to give a simple proot'that the kth eigenvalue of I), is continuous in I.