Anisotropic parabolic confinement potential effect on polaron ground state and phonon's number in the RbCl asymmetrical quantum wells
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DOI: 10.1007/s12648-021-02136-8
Abstract: The effect of anisotropic parabolic confinement potential (APCP) on the strong-coupling (SC) polaron ground state and phonon mean number (PMN) of RbCl asymmetrical semi-exponential quantum wells (ASEQWs) have been investigated on the basis of Lee–Low–Pines (LLP)… read more here.
Keywords: polaron ground; anisotropic parabolic; polaron; confinement ... See more keywords
Well-posedness problem of an anisotropic parabolic equation
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DOI: 10.1016/j.jde.2019.08.014
Abstract: Abstract In this paper, we are concerned with well-posedness of an anisotropic parabolic equation with the convection term. When some diffusion coefficients are degenerate on the boundary ∂Ω and the others are positive on Ω… read more here.
Keywords: parabolic equation; anisotropic parabolic; problem anisotropic; well posedness ... See more keywords
Existence of Lipschitz continuous solutions to the Cauchy–Dirichlet problem for anisotropic parabolic equations
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DOI: 10.1016/j.jfa.2017.02.014
Abstract: Abstract The Cauchy–Dirichlet and the Cauchy problem for the degenerate and singular quasilinear anisotropic parabolic equations are considered. We show that the time derivative u t of a solution u belongs to L ∞ under… read more here.
Keywords: cauchy dirichlet; existence lipschitz; anisotropic parabolic; parabolic equations ... See more keywords
The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition
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DOI: 10.1186/s13661-017-0899-1
Abstract: Consider the anisotropic parabolic equation with the variable exponent ut=∑i=1N(ai(x)|uxi|pi(x)−2uxi)xi,$$ {u_{t}}=\sum_{i=1}^{N} \bigl(a_{i}(x)|u_{x_{i}}|^{p_{i}(x)-2}u_{x_{i}} \bigr)_{x _{i}}, $$ with ai(x)$a_{i}(x)$, pi(x)∈C1(Ω‾)$p_{i}(x)\in C^{1}(\overline{\Omega})$, pi(x)>1$p_{i}(x)>1$, ai(x)≥0$a_{i}(x)\geq0$. If some of {ai(x)}$\{a_{i}(x)\}$ are degenerate on the boundary, a partial boundary value condition… read more here.
Keywords: value condition; anisotropic parabolic; value; boundary value ... See more keywords