Geodesic
Parabolic equations with rough data
Mathematica Bohemica, Tome 140 (2015) no. 4, pp. 457-477.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We survey recent work on local well-posedness results for parabolic equations and systems with rough initial data. The design of the function spaces is guided by tools and constructions from harmonic analysis, like maximal functions, square functions and Carleson measures. We construct solutions under virtually optimal scale invariant conditions on the initial data. Applications include BMO initial data for the harmonic map heat flow and the Ricci-DeTurck flow for initial metrics with small local oscillation. The approach is sufficiently flexible to apply to boundary value problems, quasilinear and fully nonlinear equations.
DOI : 10.21136/MB.2015.144463
Classification : 35K59, 53C44
Keywords: parabolic equation; rough initial data 
@article{10_21136_MB_2015_144463,
     author = {Koch, Herbert and Lamm, Tobias},
     title = {Parabolic equations with rough data},
     journal = {Mathematica Bohemica},
     pages = {457--477},
     publisher = {mathdoc},
     volume = {140},
     number = {4},
     year = {2015},
     doi = {10.21136/MB.2015.144463},
     mrnumber = {3432546},
     zbl = {06537677},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2015.144463/}
}
TY  - JOUR
AU  - Koch, Herbert
AU  - Lamm, Tobias
TI  - Parabolic equations with rough data
JO  - Mathematica Bohemica
PY  - 2015
SP  - 457
EP  - 477
VL  - 140
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2015.144463/
DO  - 10.21136/MB.2015.144463
LA  - en
ID  - 10_21136_MB_2015_144463
ER  - 
%0 Journal Article
%A Koch, Herbert
%A Lamm, Tobias
%T Parabolic equations with rough data
%J Mathematica Bohemica
%D 2015
%P 457-477
%V 140
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2015.144463/
%R 10.21136/MB.2015.144463
%G en
%F 10_21136_MB_2015_144463
Koch, Herbert; Lamm, Tobias. Parabolic equations with rough data. Mathematica Bohemica, Tome 140 (2015) no. 4, pp. 457-477. doi : 10.21136/MB.2015.144463. http://geodesic.mathdoc.fr/articles/10.21136/MB.2015.144463/

Cité par Sources :