Properties of the inverse problem operator for reconstructing the tsunami source

This paper outlines some aspects of an approach to reconstructing an initial water elevation field that generates a tsunami. Recently, the devastating tsunamis have acutely put forward the problem for their timely warning and, as consequence, the importance of the accurate tsunami simulation. Mathematical modeling of tsunamis is to provide tsunami-withstanding communities with reliable information of inundation heights and arrival times for the purpose to immediate protective measures. Numerical modeling of a tsunami source is an important tool of assessment and mitigation of the negative effects of tsunamis.