10 citations · 30 across the 28 of their papers we have counts for
38 papers
Global existence and boundedness for a degenerate chemotaxis system with indirect signal production via minimizing movement schemes
Tatsuya Hosono, Philippe Lauren{\cc}ot
Global existence and boundedness of weak solutions for a fully parabolic degenerate chemotaxis system with indirect signal production are proved for any initial data in the subcrit…
Convergence to self-similarity for a degenerate parabolic equation with fast-growing spatially-dependent absorption
Razvan Gabriel Iagar, Philippe Laurençot
The large time behavior of non-negative solutions to the absorption-diffusion equation \textsubscr{t} u = u\textsuperscript{m} - |x|\textsuperscript{ }u\textsupers…
Dynamics of the reversible Gray-Scott model and convergence to its irreversible limit
Philippe Laurençot, Christoph Walker
Well-posedness of a reversible variant of the Gray-Scott model is shown, along with the convergence of each trajectory to one of the two spatially homogeneous steady states. The pr…
A Hardy-H{é}non equation in with sublinear absorption
Razvan Gabriel Iagar, Philippe Laurençot
Consider , and $\max\{-2,-N\}\<σ\<0$. The Hardy-Hénon equation with sublinear absorption\begin(equation*}- Δv(x) - |x|^σv(x) + \frac{1}{m-1} v^{1/m}(x)= 0, \qquad…
Analytic semigroups in weighted -spaces on the half-line generated by singular or degenerate operators
Patrick Guidotti, Philippe Laurençot, Christoph Walker
Ranges of the real-valued parameters , , , and are identified for which the operator $$\mathcal{A}_α(a,b)f(x):=x^α\left(f''(x)+\frac{a}{x}f'(x)+\frac{b}{x^2}f(x)\right…
Global existence and boundedness of solutions to a fully parabolic chemotaxis system with indirect signal production in
Tatsuya Hosono, Philippe Laurençot
Global existence and boundedness of solutions to the Cauchy problem for the four dimensional fully parabolic chemotaxis system with indirect signal production are studied. We prove…