On the Uniqueness Problem for Nonlinear Elliptic and Parabolic Equations
Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 318-327

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The Dirichlet and the Cauchy–Dirichlet problems for second-order nonlinear elliptic and parabolic equations are studied in the case of strongly growing or degenerate leading coefficients. The solvability of the problems and the uniqueness of their solutions are proved, energy estimates and estimates for the maximum of the solutions are established.
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     author = {I. V. Skrypnik and G. Gaevsi},
     title = {On the {Uniqueness} {Problem} for {Nonlinear} {Elliptic} and {Parabolic} {Equations}},
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     year = {2002},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a31/}
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I. V. Skrypnik; G. Gaevsi. On the Uniqueness Problem for Nonlinear Elliptic and Parabolic Equations. Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 318-327. http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a31/