Concepedia

Saddle points and instability of nonlinear hyperbolic equations

L. E. Payne, D. H. Sattinger

Israel Journal of Mathematics · 1975 · 831 citations · 11 references

DOI

Concepts

References

11

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

Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u)

Howard A. Levine · Archive for Rational Mechanics and Analysis · 1973 · 577 citations

, , +10

On global solution of nonlinear hyperbolic equations

D. H. Sattinger · Archive for Rational Mechanics and Analysis · 1968 · 469 citations

, , +13

Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

Howard A. Levine · SIAM Journal on Mathematical Analysis · 1974 · 398 citations

, , +8

Existence and Nonexistence of Global Solutions for Nonlinear Parabolic Equations

Masayoshi Tsutsumi · Publications of the Research Institute for Mathematical Sciences · 1972 · 195 citations · Full text

, , +11