The fundamental operator functions of degenerate heat equations in Banach spaces
From the author's abstract: We construct generalized solutions to heat equations of the form \[ B\,\frac{\partial u(t,x)}{\partial t}-A\Delta u(t,x)=f(t,x),\quad t\in\mathbb R^1_+,\;x\in\mathbb R^n, \] where \(A\) and \(B\) are closed linear operators from \(E_1\) to \(E_2\) with dense domains, \(D(B)\subset D(A)\), \(E_1\) and \(E_2\) are Banach spaces, and the operator \(B\) is noninvertible.
scientific article; zbMATH DE number 5375907