# Optimal regularity for one-dimensional porous medium flow.

Donald G. Aronson; Luis A. Caffarelli

Revista Matemática Iberoamericana (1986)

- Volume: 2, Issue: 4, page 357-366
- ISSN: 0213-2230

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topAronson, Donald G., and Caffarelli, Luis A.. "Optimal regularity for one-dimensional porous medium flow.." Revista Matemática Iberoamericana 2.4 (1986): 357-366. <http://eudml.org/doc/39333>.

@article{Aronson1986,

abstract = {We give a new proof of the Lipschitz continuity with respect to t of the pressure in a one dimensional porous medium flow. As is shown by the Barenblatt solution, this is the optimal t-regularity for the pressure. Our proof is based on the existence and properties of a certain selfsimilar solution.},

author = {Aronson, Donald G., Caffarelli, Luis A.},

journal = {Revista Matemática Iberoamericana},

keywords = {Ecuaciones diferenciales en derivadas parciales; Aplicación lipschitziana; regularity of non-negative solutions; porous medium equation; isentropic flow of a perfect gas; Hölder continuous; Lipschitz continuity; one- dimensional porous medium flow; Barenblatt solution; existence; selfsimilar solution},

language = {eng},

number = {4},

pages = {357-366},

title = {Optimal regularity for one-dimensional porous medium flow.},

url = {http://eudml.org/doc/39333},

volume = {2},

year = {1986},

}

TY - JOUR

AU - Aronson, Donald G.

AU - Caffarelli, Luis A.

TI - Optimal regularity for one-dimensional porous medium flow.

JO - Revista Matemática Iberoamericana

PY - 1986

VL - 2

IS - 4

SP - 357

EP - 366

AB - We give a new proof of the Lipschitz continuity with respect to t of the pressure in a one dimensional porous medium flow. As is shown by the Barenblatt solution, this is the optimal t-regularity for the pressure. Our proof is based on the existence and properties of a certain selfsimilar solution.

LA - eng

KW - Ecuaciones diferenciales en derivadas parciales; Aplicación lipschitziana; regularity of non-negative solutions; porous medium equation; isentropic flow of a perfect gas; Hölder continuous; Lipschitz continuity; one- dimensional porous medium flow; Barenblatt solution; existence; selfsimilar solution

UR - http://eudml.org/doc/39333

ER -

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