Geodesic
On regularity properties of solutions to the hysteresis-type problem
Darya E. Apushkinskaya1 orcid ; Nina N. Uraltseva2
1Universität des Saarlandes, Saarbrücken, Germany
2St. Petersburg State University, Russian Federation
Interfaces and free boundaries, Tome 17 (2015) no. 1, pp. 93-115

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DOI

We consider equations with the simplest hysteresis operator at the right-hand side. Such equations describe the so-called processes “with memory” in which various substances interact according to the hysteresis law.
DOI : 10.4171/ifb/335
Classification : 35-XX, 47-XX
Mots-clés : Free boundary, hysteresis, sub-caloric functions, monotonicity formula, quadratic growth estimates

Darya E. Apushkinskaya  1   ; Nina N. Uraltseva  2

1 Universität des Saarlandes, Saarbrücken, Germany
2 St. Petersburg State University, Russian Federation 
Darya E. Apushkinskaya; Nina N. Uraltseva. On regularity properties of solutions to the hysteresis-type problem. Interfaces and free boundaries, Tome 17 (2015) no. 1, pp. 93-115. doi: 10.4171/ifb/335
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     title = {On regularity properties of solutions to the hysteresis-type problem},
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     pages = {93--115},
     year = {2015},
     volume = {17},
     number = {1},
     doi = {10.4171/ifb/335},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/335/}
}
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