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Identifying unknown source in degenerate parabolic equation from final observation
, 2020In this article, for a degenerate parabolic equation we study an inverse problem for restoration of source temperature from the information of final temperature profile.
Ranran Li, Zhi-yuan Li
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A System of Degenerate Parabolic Equations
SIAM Journal on Mathematical Analysis, 1990The system of two nonlinear equations which arises in plasma physics is considered. The equations are of degenerate parabolic type. The global existence theorem for the Cauchy problem is proved. The proof is based on the Lagrangian transformation, thus using a particular structure of the system.
BERTSCH, MICHIEL, Kamin, S.
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Nonlinear Degenerate Parabolic Equations
Acta Mathematica Hungarica, 1997The author proves the existence of weak solutions of the nonlinear degenerate parabolic initial-boundary value problem \[ {{\partial u}\over{\partial t}} - \sum_{i=1}^N D_iA_i(x,t,u,Du) + A_0(x,t,u,Du) = f(x,t)\quad\text{ in }\Omega\times(0,T), \] \[ u(x,0) = u_0(x)\quad \hbox{ in }\Omega, \] in the space \(L^p(0,T,W^{1,p}_0(v,\Omega))\), where ...
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Degenerate integrodifferential equations of parabolic type
2006Il contributo è un articolo scientifico originale, non pubblicato altrove in nessuna forma, e sottoposto a referee. Il volume contiene solo articoli originali.
FAVINI, ANGELO, A. LORENZI, H. TANABE
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Degenerate elliptic-parabolic equation
Communications in Partial Differential Equations, 1978(1978). Degenerate elliptic-parabolic equation. Communications in Partial Differential Equations: Vol. 3, No. 11, pp. 1007-1040.
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Symmetry for degenerate parabolic equations
Archive for Rational Mechanics and Analysis, 1989For ...
ALESSANDRINI, GIOVANNI, GAROFALO N.
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