Concepedia

The existence and the asymptotic behavior of a plate equation with frictional damping and a logarithmic source term

Mohammad M. Al‐Gharabli, Salim A. Messaoudi

Journal of Mathematical Analysis and Applications · 2017 · 39 citations · 29 references

DOI

Concepts

References

29

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

Nonlinear wave mechanics

Iwo Białynicki‐Birula, Jerzy Mycielski · Annals of Physics · 1976 · 758 citations

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