An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: Structural decomposition, spectral analysis, exponential stability

Authors

R. Marchand, United States Air Force Academy
T. McDevitt, Elizabethtown College
R. Triggiani, University of Virginia School of Engineering and Applied Science

Abstract

exponential stability; semigroup approach; spectral analysis; third order PDE equation

Publication Title

Mathematical Methods in the Applied Sciences

Recommended Citation

Marchand, R., McDevitt, T., & Triggiani, R. (2012). An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: Structural decomposition, spectral analysis, exponential stability. Mathematical Methods in the Applied Sciences, 35 (15), 1896-1929. https://doi.org/10.1002/mma.1576