Qualitative study of nonlinear parabolic equations: an introduction.
J. I. Díaz (2001)
Extracta Mathematicae
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J. I. Díaz (2001)
Extracta Mathematicae
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Bögelein, Verena (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Wojciech Zajączkowski (1996)
Banach Center Publications
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Existence of weak solutions and an -estimate are shown for nonlinear nondegenerate parabolic systems with linear growth conditions with respect to the gradient. The -estimate is proved for equations with coefficients continuous with respect to x and t in the general main part, and for diagonal systems with coefficients satisfying the Carathéodory condition.
Minchev, Emil
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Brzychczy, Stanisław (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Padrón, Víctor (1998)
Divulgaciones Matemáticas
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D. Bainov, Zdzisław Kamont, E. Minchev (1996)
Applicationes Mathematicae
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Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.
Pudełko, Anna (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Peszynska, Malgorzata, Showalter, Ralph E. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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