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Daniele Tampieri
Daniele Tampieri
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Let $\Omega$ be a connected domain in $\mathcal{R}^d$$\mathbf{R}^d$, with $d>2$. Assume that $ A(x)=(a _{ij})_{1 \leq i,j \leq d}$ is uniformly positive definite, with variable coefficients in $ W^{1,d}(\Omega)$. Does anyone know if the second-order elliptic operator $\operatorname{div}(A(x) \nabla u)$ has the unique continuation property?

Let $\Omega$ be a connected domain in $\mathcal{R}^d$, with $d>2$. Assume that $ A(x)=(a _{ij})_{1 \leq i,j \leq d}$ is uniformly positive definite, with variable coefficients in $ W^{1,d}(\Omega)$. Does anyone know if the second-order elliptic operator $\operatorname{div}(A(x) \nabla u)$ has the unique continuation property?

Let $\Omega$ be a connected domain in $\mathbf{R}^d$, with $d>2$. Assume that $ A(x)=(a _{ij})_{1 \leq i,j \leq d}$ is uniformly positive definite, with variable coefficients in $ W^{1,d}(\Omega)$. Does anyone know if the second-order elliptic operator $\operatorname{div}(A(x) \nabla u)$ has the unique continuation property?

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L19
L19
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Let $\Omega$ be a connexionconnected domain ofin $\mathcal{R}^d$, with $d>2$. Assume that $ A(x)=(a _{ij})_{1 \leq i,j \leq d}$ is uniformly positive definite, with variable coefficients in $ W^{1,d}(\Omega)$. Does anyone know if the second-order elliptic operator $\operatorname{div}(A(x) \nabla u)$ has the unique continuation property?

Let $\Omega$ be a connexion domain of $\mathcal{R}^d$, with $d>2$. Assume that $ A(x)=(a _{ij})_{1 \leq i,j \leq d}$ with variable coefficients in $ W^{1,d}(\Omega)$. Does anyone know if the operator $\operatorname{div}(A(x) \nabla u)$ has the unique continuation property?

Let $\Omega$ be a connected domain in $\mathcal{R}^d$, with $d>2$. Assume that $ A(x)=(a _{ij})_{1 \leq i,j \leq d}$ is uniformly positive definite, with variable coefficients in $ W^{1,d}(\Omega)$. Does anyone know if the second-order elliptic operator $\operatorname{div}(A(x) \nabla u)$ has the unique continuation property?

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L19
L19
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Unique continuation for $\operatorname{div}(a_{ij} \nabla u)$ with $ a _{ij} \in W^{1,d}$

Let $\Omega$ be a connexion domain of $\mathcal{R}^d$, with $d>2$. Assume that $ A(x)=(a _{ij})_{1 \leq i,j \leq d}$ with variable coefficients in $ W^{1,d}(\Omega)$. Does anyone know if the operator $\operatorname{div}(A(x) \nabla u)$ has the unique continuation property?