Existence of a Renormalized Solution for a Class of Parabolic Problems
Анотація
У цій статті ми доводимо існування ренормалізованого розв'язку для нелінійного виродженого параболічного рівняння $\frac{\partial b(u)}{\partial t}-\textrm{div}(A(t,x,u)Du)=f,$ де матриця $A\left( t,x,s\right) =\left(a_{ij}(t,x,s)\right)_{1\leq i\leq N \atop 1\leq j\leq N}$ не контролюється за $u$, $f\in L^{1}(Q) $, а $b$ є строго зростальною $C^{1}$-функцією.
Mathematical Subject Classification 2020: 47A15, 46A32
Ключові слова:
ренормалізований розв'язок, вибух, $L^{1}$-даніПосилання
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