Uniqueness in Rough Almost Complex Structures and Differential Inequalities [PDF]
, 2009 We prove that for almost complex structures of H\"older class at least 1/2, any J-holomorphic disc, that is constant on some non empty open set, is constant. This is in striking contrast with well known, trivial, non-uniqueness results.
Rosay, Jean-Pierre
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On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions [PDF]
, 2018 In this paper, we study the longtime asymptotic behavior of a phase separation process occurring in a three-dimensional domain containing a fluid flow of given velocity. This process is modeled by a viscous convective Cahn-Hilliard system, which consists
Colli, Pierluigi +2 more
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Global and blow-up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux [PDF]
, 2014 This work is concerned with positive classical solutions for a quasilinear parabolic equation with a gradient term and nonlinear boundary flux. We find sufficient conditions for the existence of global and blow-up solutions.
Changjun Li, Lu Sun, Zhong Fang
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SOME NONLINEAR DIFFERENTIAL INEQUALITIES AND AN APPLICATION TO HÖLDER CONTINUOUS ALMOST COMPLEX STRUCTURES [PDF]
, 2011 . We consider some second order quasilinear partial differential inequalities for real valued functions on the unit ball and find conditions under which there is a lower bound for the supremum of nonnegative solutions that do not vanish at the origin. As
Adam Coffman, Yifei Pan
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Bifurcation analysis of a predator-prey system with self- and cross-diffusion and constant harvesting rate [PDF]
, 2014 In this paper, we focus on a ratio dependent predator-prey system with self- and cross-diffusion and constant harvesting rate. By making use of a brief stability and bifurcation analysis, we derive the symbolic conditions for Hopf, Turing and wave ...
Baek, H.
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Penerapan Metode User Centered Design dalam Perancangan Ulang Desain Website MAN 1 Pasuruan [PDF]
, 2022 Dalam membangun citra positif sebagai lembaga pendidikan berbasis islam yang optimis dan mampu bersaing dengan sekolah umum secara kompetitif, MAN 1 Pasuruan mengembangkan sebuah website yang berfungsi sebagai wadah informasi dan media peningkatan citra ...
Cahyani, Rizka Dwi +1 more
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Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups [PDF]
, 2018 In this paper we study the global well-posedness of the following Cauchy problem on a sub-Riemannian manifold $M$: \begin{equation*} \begin{cases} u_{t}-\mathfrak{L}_{M} u=f(u), \;x\in M, \;t>0, \\u(0,x)=u_{0}(x), \;x\in M, \end{cases} \end{equation ...
Ruzhansky, M, Yessirkegenov, N
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Smooth counterexamples to strong unique continuation for a Beltrami system in $\mathbb{C}^2$ [PDF]
, 2011 We construct an example of a smooth map $\mathbb{C}\to\mathbb{C}^2$ which vanishes to infinite order at the origin, and such that the ratio of the norm of the $\bar z$ derivative to the norm of the $z$ derivative also vanishes to infinite order.
Coffman, Adam, Pan, Yifei
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C^{1,1} regularity for degenerate elliptic obstacle problems
, 2016 The Heston stochastic volatility process is a degenerate diffusion process where the degeneracy in the diffusion coefficient is proportional to the square root of the distance to the boundary of the half-plane. The generator of this process with killing,
Daskalopoulos, Panagiota +1 more
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, 2013 We prove existence and uniqueness of stochastic representations for solutions to elliptic and parabolic boundary value and obstacle problems associated with a degenerate Markov diffusion process.
Feehan, Paul M. N., Pop, Camelia
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