Concepedia

General Stability and Exponential Growth for a Class of Semi-linear Wave Equations with Logarithmic Source and Memory Terms

Amir Peyravi

Applied Mathematics & Optimization · 2018 · 36 citations · 31 references

DOI

Concepts

References

31

Logarithmic Sobolev Inequalities

Leonard Gross · American Journal of Mathematics · 1975 · 1.8K citations

Saddle points and instability of nonlinear hyperbolic equations

L. E. Payne, D. H. Sattinger · Israel Journal of Mathematics · 1975 · 831 citations

, , +13

Instability and nonexistence of global solutions to nonlinear wave equations of the form 𝑃𝑢_{𝑡𝑡}=-𝐴𝑢+ℱ(𝓊)

Howard A. Levine · Transactions of the American Mathematical Society · 1974 · 700 citations · Full text

, , +17

Existence of a Solution of the Wave Equation with Nonlinear Damping and Source Terms

Vladimir Georgiev, Grozdena Todorova · Journal of Differential Equations · 1994 · 583 citations

, , +15

Q-balls and baryogenesis in the MSSM

Kari Enqvist, J. McDonald · Physics Letters B · 1998 · 494 citations · Full text

, , +4