Higher integrability for weak solutions of higher order degenerate parabolic systems.
Bögelein, Verena (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Bögelein, Verena (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
Similarity:
Wojciech Zajączkowski (1996)
Banach Center Publications
Similarity:
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.
Voisei, Mircea D. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
Pudełko, Anna (2004)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Similarity:
Ronto, A.N., Rontó, M., Samoilenko, A.M., Trofimchuk, S.I. (2001)
Georgian Mathematical Journal
Similarity:
Wojciech Zajączkowski (1996)
Banach Center Publications
Similarity:
We prove existence of weak solutions to nonlinear parabolic systems with p-Laplacians terms in the principal part. Next, in the case of diagonal systems an -estimate for weak solutions is shown under additional restrictive growth conditions. Finally, -estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The -estimates are obtained by the Di Benedetto methods.
D. Bainov, Zdzisław Kamont, E. Minchev (1996)
Applicationes Mathematicae
Similarity:
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.
M. Medveď (1991)
Annales Polonici Mathematici
Similarity:
We prove several results on lower bounds for the periods of periodic solutions of some classes of functional-differential equations in Hilbert and Banach spaces and difference inclusions in Hilbert spaces.
Nguetseng, Gabriel, Woukeng, Jean Louis (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
Théodore K. Boni (1999)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We obtain some sufficient conditions under which solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions tend to zero or blow up in a finite time. We also give the asymptotic behavior of solutions which tend to zero as . Finally, we obtain the asymptotic behavior near the blow-up time of certain blow-up solutions and describe their blow-up set.
Ming-Xing Wang, Alberto Cabada, Juan J. Nieto (1993)
Annales Polonici Mathematici
Similarity:
The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.