Simon, László On nonlinear functional parabolic equations with state-dependent delays of Volterra type. (English) Zbl 1263.35214 Int. J. Qual. Theory Differ. Equ. Appl. 4, No. 1, 88-103 (2010). Summary: We consider second order quasilinear parabolic equations where also the main part contains functional dependence and state-dependent delay on the unknown function. Existence and some qualitative properties of the solutions are shown. MSC: 35R10 Partial functional-differential equations 35K59 Quasilinear parabolic equations 35K99 Parabolic equations and parabolic systems Keywords:functional parabolic equation; state-dependent delay; nonlinear parabolic equation × Cite Format Result Cite Review PDF