Pseudodifferential parametrices of infinite order for SG-hyperbolic problems.
Cappiello, M. (2003)
Rendiconti del Seminario Matematico
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Displaying similar documents to “Global solvability to the Kirchhoff equation for a new class of initial data.”
Pseudodifferential parametrices of infinite order for SG-hyperbolic problems.
Comparison of Some Solution Concepts for Linear First-order Hyperbolic Differential Equations With Non-smooth Coefficients
Simon Haller, Günther Hörmann (2008)
Publications de l'Institut Mathématique
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Perturbative methods in scales of Banach spaces: applications for Gevrey regularity of solutions to semilinear partial differential equations.
Gramchev, T. (2003)
Rendiconti del Seminario Matematico
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Asymptotic expansion for a dissipative Benjamin--Bona--Mahony equation with periodic coefficients.
Bisognin, E., Bisognin, V., Coimbra Charão, R., Pazoto, A. F. (2003)
Portugaliae Mathematica. Nova Série
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Regularity and uniqueness in quasilinear parabolic systems
Pavel Krejčí, Lucia Panizzi (2011)
Applications of Mathematics
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Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient. The proofs are based on anisotropic estimates in tangential and normal directions, and on a refined variant of the Gronwall lemma.
Regularity of weakly well-posed characteristic boundary value problems.
Morando, Alessandro, Secchi, Paolo (2010)
International Journal of Differential Equations
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Spherical harmonics and maximal estimates for the Schrödinger equation.
Sjölin, Per (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Blow-up and global existence profile of a class of fully nonlinear degenerate parabolic equations
Jing Li, Jingxue Yin, Chunhua Jin (2011)
Open Mathematics
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This paper is mainly concerned with the blow-up and global existence profile for the Cauchy problem of a class of fully nonlinear degenerate parabolic equations with reaction sources.
Well-posedness of the Cauchy problem for hyperbolic equations with non-Lipschitz coefficients.
Aliev, Akbar B., Shukurova, Gulnara D. (2009)
Abstract and Applied Analysis
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Inhomogeneous Gevrey ultradistributions and Cauchy problem
Daniela Calvo, L. Rodino (2006)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Local solvability for semilinear partial differential equations of constant strength.
Messina, F. (2003)
Rendiconti del Seminario Matematico
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