Results 11 to 20 of about 456 (43)
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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Non-Uniqueness and prescribed energy for the continuity equation [PDF]
, 2014 In this note we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed ...
Crippa, Gianluca +3 more
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Wellposedness of a nonlocal nonlinear diffusion equation of image processing [PDF]
, 2016 Existence and uniqueness are established for a degenerate regularization of the well-known Perona-Malik equation proposed by the first author for non-smooth initial data.
Guidotti, Patrick, Shao, Yuanzhen
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Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
, 2013 In this note we present some uniqueness and comparison results for a class of problem of the form \begin{equation} \label{EE0} \begin{array}{c} - L u = H(x,u,\nabla u)+ h(x), \quad u \in H^1_0(\Omega) \cap L^{\infty}(\Omega), \end{array} \end{equation ...
Arcoya, David +3 more
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Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces
, 2017 In the paper, we consider the Cauchy problem of the non-resistive MHD equations in homogeneous Besov spaces. We prove the local existence and uniqueness of the solution to the non-resistive MHD equations by using the iterative scheme and compactness ...
Li, Jinlu, Tan, Wenke, Yin, Zhaoyang
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Advanced Nonlinear Studies, 2017 In the present paper we study the Dirichlet problem for an equation involving the 1-Laplacian and a total variation term as reaction.We prove a strong multiplicity result.
Abdellaoui Boumediene +2 more
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On a nonlinear Robin problem with an absorption term on the boundary and L1 data
Advances in Nonlinear AnalysisWe deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della +2 more
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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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Semiflow selection and Markov selection theorems
, 2019 The deterministic analog of the Markov property of a time-homogeneous Markov process is the semigroup property of solutions of an autonomous differential equation.
Cardona, Jorge E., Kapitanski, Lev
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Long time decay of incompressible convective Brinkman-Forchheimer in L2(ℝ3)
Demonstratio MathematicaIn this article, we study the global existence, uniqueness, and continuity for the solution of incompressible convective Brinkman-Forchheimer on the whole space R3{{\mathbb{R}}}^{3} when 4μβ≥14\mu \beta \ge 1.
Jlali Lotfi, Benameur Jamel
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