## Abstract We consider the wave equation on the unit square of the plane with Ventcel boundary conditions on a part of the boundary. It was shown by A. Heminna [8] that this problem is not exponentially stable. Here using a Fourier analysis and a careful analysis of the 1βd problem with respect to
Trace regularity of the solutions of the wave equation with homogeneous Neumann boundary conditions and data supported away from the boundary
β Scribed by I. Lasiecka; R. Triggiani
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 904 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract Suppose __u__ is the solution of the initial value problem Suppose __n__ β₯ 1 is odd, __f__ and __g__ are supported in a ball __B__ with boundary __S__, and one of __f__ or __g__ is zero. We derive identities relating the norm of __f__ or __g__ to the norm of the trace of __u__ on __S_
This note deals with linear second-order homogeneous ordinary differential equations associated with linear homogeneous boundary conditions. We find those solutions of the differential equation that satisfy a given boundary condition. Also, we determine the set of all those boundary conditions that