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Multidimensional two-phase problem for the parabolic equations with two small parameters ε > 0 and κ > 0 at the leading terms in the conjugation condition is studied in the… Click to show full abstract
Multidimensional two-phase problem for the parabolic equations with two small parameters ε > 0 and κ > 0 at the leading terms in the conjugation condition is studied in the Hölder space. An estimate of the perturbed term, time derivative, is derived. It is proved that the solution to the problem converges as κ → 0 and ε > 0, ε → 0 and κ > 0, and ε = 0 and κ → 0 without loss of the smoothness of given functions.
Keywords:
condition;
two small;
lder space;
small parameters;
parabolic equations;
equations two
Journal Title: Journal of Mathematical Sciences
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Mathematical Sciences
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!