Christoph Walker

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math.AP2025

Analysis of a one-dimensional biofilm model

Patrick Guidotti, Christoph Walker

In this paper a reduced one-dimensional moving boundary model is studied that describes the evolution of a biofilm driven by the presence of a reaction limiting substrate. Global w…

math.AP2024

Analytic semigroups in weighted $L_{1}$ -spaces on the half-line generated by singular or degenerate operators

Patrick Guidotti, Philippe LaurenÃ§ot, Christoph Walker

Ranges of the real-valued parameters $I^\pm$ , $a$ , $b$ , and $m$ are identified for which the operator $$\mathcal{A}_Î±(a,b)f(x):=x^Î±\left(f''(x)+\frac{a}{x}f'(x)+\frac{b}{x^2}f(x)\ri…

Analysis of a one-dimensional biofilm model

Analytic semigroups in weighted L1​-spaces on the half-line generated by singular or degenerate operators

Analytic semigroups in weighted $L_{1}$ -spaces on the half-line generated by singular or degenerate operators