Parabolic equations relative to vector fields.
Bieske, Thomas (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bieske, Thomas (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hartenstine, David (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Danet, C.-P. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Softova, Lubomira G. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Giorgio Patrizio (1984)
Manuscripta mathematica
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Bieske, Thomas (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ghanmi, Abdeljabbar (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Peral, Ireneo, Soria, Fernando (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Dzhuraev, T.D., Takhirov, J.O. (1999)
Georgian Mathematical Journal
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Safonov, Mikhail (1998)
Documenta Mathematica
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Luis A. Caffarelli, Louis Nirenberg, Joel Spruck (1986)
Revista Matemática Iberoamericana
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Let Ω be a bounded convex domain in Rn with smooth, strictly convex boundary ∂Ω, i.e. the principal curvatures of ∂Ω are all positive. We study the problem of finding a convex function u in Ω such that: det (uij) = 0 in Ω u = φ given on ∂Ω.
Bieske, Thomas (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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H. Ugowski (1972)
Annales Polonici Mathematici
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Gary Lieberman (2000)
Banach Center Publications
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We study boundary value problems for quasilinear parabolic equations when the initial condition is replaced by periodicity in the time variable. Our approach is to relate the theory of such problems to the classical theory for initial-boundary value problems. In the process, we generalize many previously known results.