TY - JOUR
AU - Kolkovska, Natalia
AU - Dimova, Milena
AU - Kutev, Nikolay
PY - 2023/10/31
Y2 - 2024/06/17
TI - Nonexistence of Global Solutions to Double Dispersion Equations with Linear Restoring Force and Nonlinearities with Variable Coefficients
JF - Proceedings of the Bulgarian Academy of Sciences
JA - C. R. Acad. Bulg. Sci.
VL - 76
IS - 10
SE - Mathematics
DO - 10.7546/CRABS.2023.10.02
UR - https://proceedings.bas.bg/index.php/cr/article/view/396
SP - 1486–1494
AB - <p>We investigate Cauchy problem to double dispersion equations with polynomial type nonlinearities with variable coefficients. Necessary and sufficient conditions for nonexistence of global weak solutions and nonblowing up ones are found for subcritical initial energy. For supercritical energy a sufficient condition for finite time blow up of the weak solutions, independent of the scalar product of the initial data, is developed.</p>
ER -