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pro vyhledávání: '"Yuzhou Fang"'
Publikováno v:
Bulletin of the London Mathematical Society. 53:1863-1878
We consider the fully nonlinear equation with variable-exponent double phase type degeneracies $$ \big[|Du|^{p(x)}+a(x)|Du|^{q(x)}\big]F(D^2u)=f(x). $$ Under some appropriate assumptions, by making use of geometric tangential methods and combing a re
Autor:
Chao Zhang, Yuzhou Fang
Publikováno v:
Journal of Differential Equations. 295:211-232
We consider the interior Holder regularity of spatial gradient of viscosity solution to the parabolic normalized p ( x , t ) -Laplace equation u t = ( δ i j + ( p ( x , t ) − 2 ) u i u j | D u | 2 ) u i j with some suitable assumptions on p ( x ,
Equivalence between viscosity and weak solutions for the parabolic equations with nonstandard growth
Autor:
Chao Zhang, Yuzhou Fang
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:8430-8449
Autor:
Chao Zhang, Yuzhou Fang
Publikováno v:
Advances in Calculus of Variations. 15:811-829
We investigate the different notions of solutions to the double-phase equation - div ( | D u | p - 2 D u + a ( x ) | D u | q - 2 D u ) = 0 , -{\operatorname{div}(\lvert Du\rvert^{p-2}Du+a(x)\lvert Du\rvert^{q-2}Du)
Blockchain, as a distributed ledger technology, becomes increasingly popular, especially for enabling valuable cryptocurrencies and smart contracts. However, the blockchain software systems inevitably have many bugs. Although bugs in smart contracts
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5d707b7825eb39579df552b1c196d08
http://arxiv.org/abs/2110.12162
http://arxiv.org/abs/2110.12162
Autor:
Yuzhou Fang, Chao Zhang
We introduce a new class of quasi-linear parabolic equations involving nonhomogeneous degeneracy or/and singularity $$ \partial_t u=[|D u|^q+a(x,t)|D u|^s]\left(\Delta u+(p-2)\left\langle D^2 u\frac{D u}{|D u|},\frac{D u}{|D u|}\right\rangle\right),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e87190b7bed2388273ae1cdc66c83e2
http://arxiv.org/abs/2105.04743
http://arxiv.org/abs/2105.04743
We investigate the mixed local and nonlocal parabolic $p$-Laplace equation \begin{align*} \partial_t u(x,t)-\Delta_p u(x,t)+\mathcal{L}u(x,t)=0, \end{align*} where $\Delta_p$ is the local $p$-Laplace operator and $\mathcal{L}$ is the nonlocal $p$-Lap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e813f3bd463187dca7c807ebcf98375d
Publikováno v:
Annals of Financial Economics. 14:1950009
Basel Committee on Banking Supervision published Standards on Interest Rate Risk in Banking Book in April 2016. Apart from others, it proposed a standardized framework under which banks should identify core and noncore deposits within their stable no