The group properties of the heat equation. Inverse and boundary value problems (Q1874903)
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scientific article; zbMATH DE number 1916051
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The group properties of the heat equation. Inverse and boundary value problems |
scientific article; zbMATH DE number 1916051 |
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The group properties of the heat equation. Inverse and boundary value problems (English)
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25 May 2003
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The author applies group analysis methods to the heat conduction equation \(\rho(x,y,z) u_t=u_{xx} +u_{yy}+u_{zz}\) to describe functions \(\rho(x,y,z)\) for which this equation admits nontrivial local Lie transformations. The main relationships between the local symmetry group of the equation and the coefficient \(\rho(x,y,z)\) are established.
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nontrivial local Lie transformations
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group analysis methods
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