Concepedia

Global Existence and Nonexistence Theorems for Quasilinear Evolution Equations of Formally Parabolic Type

Howard A. Levine, Sang Ro Park, James Serrin

Journal of Differential Equations · 1998 · 71 citations · 12 references

DOI

Concepts

References

12

The Role of Critical Exponents in Blowup Theorems

Howard A. Levine · SIAM Review · 1990 · 805 citations

, , +16

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

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

Blow-up of positive solutions of semilinear heat equations

Avner Friedman · Indiana University Mathematics Journal · 1985 · 545 citations

, , +13

REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS

J. M. Ball · The Quarterly Journal of Mathematics · 1977 · 532 citations

, , +12