An optimization problem in heat conduction

N. E. Aguilera; L. A. Caffarelli; J. Spruck

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1987)

  • Volume: 14, Issue: 3, page 355-387
  • ISSN: 0391-173X

How to cite

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Aguilera, N. E., Caffarelli, L. A., and Spruck, J.. "An optimization problem in heat conduction." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 14.3 (1987): 355-387. <http://eudml.org/doc/84010>.

@article{Aguilera1987,
author = {Aguilera, N. E., Caffarelli, L. A., Spruck, J.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {free boundary problem; heat conduction; existence; regularity},
language = {eng},
number = {3},
pages = {355-387},
publisher = {Scuola normale superiore},
title = {An optimization problem in heat conduction},
url = {http://eudml.org/doc/84010},
volume = {14},
year = {1987},
}

TY - JOUR
AU - Aguilera, N. E.
AU - Caffarelli, L. A.
AU - Spruck, J.
TI - An optimization problem in heat conduction
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1987
PB - Scuola normale superiore
VL - 14
IS - 3
SP - 355
EP - 387
LA - eng
KW - free boundary problem; heat conduction; existence; regularity
UR - http://eudml.org/doc/84010
ER -

References

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  1. [A-A-C] N. Aguilera - H. Alt - L. Caffarelli, The optimal conductor problem, to appear. 
  2. [A-C] H. Alt - L. Caffarelli, Existence and regularity for a minimum problem with regularity, J. Reine Angew. Math, 325 (1981), pp. 105-144. Zbl0449.35105MR618549
  3. [A-C-F] H. Alt - L. Caffarelli - A. Friedman, Variational problems with two phases and their free boundariesTrans. Amer. Math. Soc., 282 (1984), pp. 431-461. Zbl0844.35137MR732100
  4. [D] I.I. Deniuuk, On integral functionals with a variable domain of integration, Proc. Steklov Inst. of Math., 118 (1972), English transl. Amer. Math. Soc. (1976). Zbl0325.35002MR405198
  5. [G] P. Garabedian, Partial Differentail Equations, Wiley, 1969. Zbl0124.30501
  6. [J-K] D. Jerison - C. Kenig, Boundary Behavior of Harmonic functions in Non-Tangentially accessible domains, Adv. in math.46 (1982), pp. 80-147. Zbl0514.31003MR676988
  7. [K-N-S] D. Kinderlehrer - L. Nirenberg - J. Spruck, Regularity in elliptic free boundary problems, I. J. d'Analyse Math., 34 (1978), pp. 86-119. Zbl0402.35045MR531272
  8. [M] C.B. Morrey, Multiple integrals in the calculus of variations. Springer-Verlang, 1966. Zbl0142.38701

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