Existence and Qualitative Properties of Multidimensional Conical Bistable Fronts

@inproceedings{Hamel2017ExistenceAQ,
  title={Existence and Qualitative Properties of Multidimensional Conical Bistable Fronts},
  author={François Hamel},
  year={2017}
}
Travelling fronts with conical-shaped level sets are constructed for reaction-diffusion equations with bistable nonlinearities of positive mass. The construction is valid in space dimension 2, where two proofs are given, and in arbitrary space dimensions under the assumption of cylindrical symmetry. General qualitative properties are presented under various assumptions: conical conditions at infinity, existence of a sub-level set with globally Lipschitz boundary, monotonicity in a given… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.
13 Citations
27 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 27 references

Existence and uniqueness for a free boundary problem arising in combustion theory

  • F. Hamel, R. Monneau
  • Interfaces Free Boundaries 4
  • 2002
Highly Influential
3 Excerpts

Travelling waves and entire solutions of the Fisher - KPP equation in R N

  • N. Nadirashvili Hamel
  • Arch . Ration . Mech . Anal .
  • 2001

Travelling waves and entire solutions of the Fisher-KPP equation in R

  • F. Hamel, N. Nadirashvili
  • Arch. Ration. Mech. Anal. 157
  • 2001
1 Excerpt

Cabré Entire solutions of semilinear elliptic equations in R 3 and a conjecture of De Giorgi

  • X. Ambrosio
  • J . Amer . Math . Soc .
  • 2000

Similar Papers

Loading similar papers…