A priori estimates for solutions to systems of nonlinear parabolic equations
The Cauchy problem is considered for systems of second-order nonlinear parabolic equations weakly coupled over derivatives of first and zero-order. Some a~priori estimates of solutions are proven in the space \(C^{2+\alpha}\). The proof rests on reducing the~system to a parabolic equation.
scientific article; zbMATH DE number 1495296
scientific article