Free boundary problem for nonlinear diffusion equation |
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| Author |
ivanchov@uli2.franko.lviv.ua
Faculty of Mechanics and Mathematics, Lviv Ivan Franko National University
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| Abstract |
In the paper we consider an initial boundary value problem for one-dimensional
diffusion equation in the domain with moving unknown boundary. By
transformation of variables the problem is reduced to a coefficient inverse
problem for some parabolic equation. Existence and uniqueness of solution of
this problem are established.
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| Keywords |
initial boundary value problem, one-dimensional diffusion equation, domain with moving unknown boundary, transformation of variables, coefficient inverse problem, parabolic equation
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| DOI |
doi:10.30970/ms.19.2.156-164
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Reference |
1. Friedman A. Partial differential equations of parabolic type. Prentice-Hall, Inc. 1964.
2. Ладыженская О. А., Солонников В. А., Уральцева Н. Н. Линейные и квазилинейные уравнения параболического типа, М. Наука, 1967. 3. Ivanchov N. I. On determination of time-dependent major coefficient in a parabolic equation, Siberian Math. Journ. 39, (1998), № 3, 539–550. |
| Pages |
156-164
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| Volume |
19
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| Issue |
2
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| Year |
2003
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |