Flow Solutions of Transport Equations [PDF]
arXiv, 2019 Under general assumptions on the velocity field, it is possible to construct a flow that is forward untangled. Once such a flow has been selected, the associated transport problem is well-posed.
arxiv
Existence and uniqueness of a density probability solution for the stationary Doi-Edwards equation [PDF]
arXiv, 2015 We prove the existence, uniqueness and non negativity of solutions for a nonlinear stationary Doi-Edwards equation. The existence is proved by a perturbation argument. We get the uniqueness and the non negativity by showing the convergence in time of the solution of the evolutionary Doi-Edwards equation towards any stationary solution.
arxiv
Backward uniqueness for general parabolic operators in the whole space [PDF]
arXiv, 2017 We prove the backward uniqueness for general parabolic operators of second order in the whole space under assumptions that the leading coefficients of the operator are Lipschitz and their gradients satisfy certain decay conditions. This result extends in some ways a classical result of Lions and Malgrange [12] and a recent result of the authors [10].
arxiv
Uniqueness for the Schrödinger Equation on Graphs with Potential Vanishing at Infinity [PDF]
arXivWe investigate the uniqueness, in suitable weighted $\ell^p$ spaces, of solutions to the Schr\"odinger equation with a potential, posed on infinite graphs. The potential can tend to zero at infinite with a certain rate.
arxiv
On $p$-Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential [PDF]
arXivFor $N\ge2$ and $1
arxiv
Non-uniqueness of Oberbeck-Boussinesq System with Gravitational Field [PDF]
arXivWe consider the Oberbeck-Boussinesq system with gravitational force on the whole space. We prove the non-uniqueness of the system applying the unstable profile of Navier-Stokes equation.
arxiv
Oct4 transcriptionally regulates the expression of long non-coding RNAs NEAT1 and MALAT1 to promote lung cancer progression. [PDF]
Mol Cancer, 2017 Jen J +5 more
europepmc +1 more source
Uniqueness results for the Minkowski problem extended to hedgehogs
Open Mathematics, 2012 Martinez-Maure Yves
doaj +1 more source
Global Oct4 target gene analysis reveals novel downstream PTEN and TNC genes required for drug-resistance and metastasis in lung cancer. [PDF]
Nucleic Acids Res, 2015 Tang YA +8 more
europepmc +1 more source
Global and exponential attractors for a Caginalp type phase-field problem
Open Mathematics, 2013 Bangola Brice
doaj +1 more source