A boundary point lemma for Black-Scholes type operators [PDF]
Comm. Pure Appl. Anal. 5 (2006), 505-514, 2005 We prove a sharp version of the Hopf boundary point lemma for Black-Scholes type equations. We also investigate the existence and the regularity of the spatial derivative of the solutions at the spatial boundary.
arxiv
A non-stationary model for catalytic converters with cylindrical geometry [PDF]
Proceedings of the Fourth European Conference on Elliptic and
Parabolic Problems - Rolduc and Gaeta 2001, pp. 424-433, World Scientific,
2002, 2006 We prove some existence and uniqueness results and some qualitative properties for the solution of a system modelling the catalytic conversion in a cylinder. This model couples parabolic partial differential equations posed in a cylindrical domain and on its boundary.
arxiv
Integrability of the derivative of solutions to a singular one-dimensional parabolic problem
, 2017 We study integrability of the derivative of solutions to a singular one-dimensional parabolic equation with initial data in $W^{1,1}$. In order to avoid additional difficulties we consider only the periodic boundary conditions.
Nakayasu, Atsushi, Rybka, Piotr
core
Blow-up for an evolution
Boundary Value Problems, 2011 This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions { u t − div ( | ∇ u | p − 2 ∇ u ) =
Liu Dengming +3 more
doaj
A vanishing dynamic capillarity limit equation with discontinuous flux. [PDF]
Z Angew Math Phys, 2020 Graf M +3 more
europepmc +1 more source
Blow-up and global existence profile of a class of fully nonlinear degenerate parabolic equations
Open Mathematics, 2011 Li Jing, Yin Jingxue, Jin Chunhua
doaj +1 more source
Regularity for obstacle problems to anisotropic parabolic equations [PDF]
arXivFollowing Dibenedetto's intrinsic scaling method, we prove local H\"older continuity of weak solutions to obstacle problems related to some anisotropic parabolic equations under the condition for which only H\"older's continuity of the obstacle is known.
arxiv
Hölder inequality applied on a non-Newtonian fluid equation with a nonlinear convection term and a source term. [PDF]
J Inequal Appl, 2018 Zhan H.
europepmc +1 more source
Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions. [PDF]
J Inequal Appl, 2018 Ding J.
europepmc +1 more source