Concepedia

Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded fourier coefficients

Howard A. Levine

Mathematische Annalen · 1975 · 97 citations · 16 references

DOI

Concepts

References

16

<i>Methods of Mathematical Physics</i>

Richard Courant, David Hilbert, T. Teichmann · Physics Today · 1962 · 1.4K citations

, , +10

Saddle points and instability of nonlinear hyperbolic equations

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

, , +13

Methods of Mathematical Physics

J. B. Díaz, Richard Courant, David Hilbert · Mathematics of Computation · 1964 · 747 citations

, , +12

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