Philipp Surig

collaborators

6 papers

math.AP2026

Existence results for Leibenson's equation on Riemannian manifolds

Philipp SÃ¼rig

We consider on an arbitrary Riemannian manifold $M$ the \textit{Leibenson equation} $\partial_{t} u = I^_{p} u^{q}$ , that is also known as a \textit{doubly nonlinear evolution equatio…

math.AP2026

Long time upper bounds for solutions of Leibenson's equation on Riemannian manifolds

Philipp SÃ¼rig

We consider on Riemannian manifolds the Leibenson equation $\partial_{t} u = I^_{p} u^{q} .$ We prove that a certain upper bound for weak solutions of this equation is equivalent to…

math.AP2026

Parabolic Frequency for Doubly Nonlinear Equations on Manifolds

Jin Sun, Philipp SÃ¼rig

We establish monotonicity formulas for a parabolic frequency function associated with sign-changing solutions to a class of doubly nonlinear parabolic equations of the form $\parti…

math.AP2026

Sharp long distance upper bounds for solutions of Leibenson's equation on Riemannian manifolds

Alexander Grigor'yan, Jin Sun, Philipp SÃ¼rig

We consider on Riemannian manifolds the Leibenson equation $\partial_{t} u = I^_{p} u^{q}$ that is also known as a doubly nonlinear evolution equation. We prove sharp upper estimates…

math.AP2026

Finite extinction time for subsolutions of the weighted Leibenson equation on Riemannian manifolds

Philipp SÃ¼rig

We consider on Riemannian manifolds the non-linear evolution equation $I ¨ \partial_{t} u = I^_{p} u^{q} .$ Assuming that the manifold satisfies a \textit{(weighted) Sobolev inequality…

math.AP2025

Gradient estimates for Leibenson's equation on Riemannian manifolds

Philipp SÃ¼rig

We consider on Riemannian manifolds solutions of the Leibenson equation \begin{equation*} \partial _{t}u=Î_{p}u^{q}. \end{equation*} This equation is also known as doubly nonlinea…