Logarithmic convexity for third order in time partial differential equations Academic Article uri icon

abstract

  • In this short note, we want to describe the logarithmic convexity argument for third order in time partial differential equations. As a consequence, we first prove a uniqueness result whenever certain conditions on the parameters are satisfied. Later, we show the instability of the solutions if the initial energy is less or equal than zero.

published proceedings

  • MATHEMATICS AND MECHANICS OF SOLIDS

author list (cited authors)

  • Fernandez, J. R., Quintanilla, R., & Rajagopal, K. R.

citation count

  • 0

complete list of authors

  • Fernandez, Jose R||Quintanilla, Ramon||Rajagopal, Kumbakonam R

publication date

  • January 2022