Arai, Tsutomu On the existence of the solution for \(\partial\varphi (u'(t))+\partial\Psi (u(t))\ni f(t)\). (English) Zbl 0418.35056 J. Fac. Sci., Univ. Tokyo, Sect. I A 26, 75-96 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 26 Documents MSC: 35G10 Initial value problems for linear higher-order PDEs 35K25 Higher-order parabolic equations 35K15 Initial value problems for second-order parabolic equations 35K70 Ultraparabolic equations, pseudoparabolic equations, etc. 26E25 Set-valued functions Keywords:real Hilbert space; subdifferentials of lower semicontinuous functions; existence of a solution; nonlinear evolution equation; nonlinear parabolic and pseudoparabolic partial differential equations PDFBibTeX XMLCite \textit{T. Arai}, J. Fac. Sci., Univ. Tokyo, Sect. I A 26, 75--96 (1979; Zbl 0418.35056)