A nonlinear heat equation with temperature-dependent parameters.
Rincon, M.A., Límaco, J., Liu, I-Shih (2006)
Mathematical Physics Electronic Journal [electronic only]
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Displaying similar documents to “Systems for phase transitions with hysteresis effect”
A nonlinear heat equation with temperature-dependent parameters.
Estimates of a stabilization rate as of solutions of a nonlinear integro-differential equation.
Jangveladze, T., Kiguradze, Z. (2002)
Georgian Mathematical Journal
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An abstract semilinear first order differential equation in the hyperbolic case
Jan Bochenek (1995)
Annales Polonici Mathematici
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This paper is devoted to the investigation of the abstract semilinear initial value problem , in the “hyperbolic” case.
An abstract nonlinear second order differential equation
Jan Bochenek (1991)
Annales Polonici Mathematici
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By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.
Aggregation on a nonlinear parabolic functional differential equation.
Padrón, Víctor (1998)
Divulgaciones Matemáticas
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Solution to a transmission problem for quasilinear pseudoparabolic equations by the Rothe method.
Bouziani, A., Merazga, N. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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On uniqueness for a system of heat equations coupled in the boundary conditions.
Kordoš, M. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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On a nonlinear integral equation without compactness.
Isaia, F. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results
Arina A. Arkhipova (2001)
Commentationes Mathematicae Universitatis Carolinae
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We prove local in time solvability of the nonlinear initial-boundary problem to nonlinear nondiagonal parabolic systems of equations (multidimensional case). No growth restrictions are assumed on generating the system functions. In the case of two spatial variables we construct the global in time solution to the Cauchy-Neumann problem for a class of nondiagonal parabolic systems. The solution is smooth almost everywhere and has an at most finite number of singular points.