Weighted estimates of a solution to the linear problem connected with the one-phase Stefan problem in the case where the specific heat tends to zero |
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Authors: | V. A. Solonnikov E. V. Frolova |
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Affiliation: | (1) St. Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia;(2) St. Petersburg State Electrotechnical University, St. Petersburg, Russia |
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Abstract: | We prove estimates in weighted Hölder norms for a solution to the model linear problem related with the one-phase Stefan problem with a small multiplier ε at time derivative in the heat equation. These estimates are uniform with respect to parameter ε and are significant in justification of passage to the limit in the one-phase Stefan problem as the specific heat tends to zero. Bibliography: 8 titles. |
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