Existence of a Renormalized Solution for a Class of Parabolic Problems
In the paper, we prove the existence of the renormalized solution for the nonlinear degenerate parabolic equation $\frac{\partial b(u)}{\partial t}-\textrm{div}(A(t,x,u)Du)=f,$ where the matrix $A\left( t,x,s\right) =\left(a_{ij}(t,x,s)\right)_{1\leq i\leq N \atop 1\leq j\leq N}$ is not controlled w...
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| Date: | 2025 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2025
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| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1107 |
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| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |