Galerkin Methods for Parabolic Equations with Nonlinear Boundary Conditions.
Jim Douglas, Todd Dupont (1972/73)
Numerische Mathematik
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Displaying similar documents to “Line Method Approximations to the Cauchy Problem for Nonlinear Parabolic Differential Equations.”
Galerkin Methods for Parabolic Equations with Nonlinear Boundary Conditions.
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Piotr Biler (1995)
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The existence of solutions to the Cauchy problem for a nonlinear parabolic equation describing the gravitational interaction of particles is studied under minimal regularity assumptions on the initial conditions. Self-similar solutions are constructed for some homogeneous initial data.
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A. CARASSO (1970/71)
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Existence and uniqueness result for a class of nonlinear parabolic equations with L¹ data
Kaouther Ammar, Jaouad Bennouna, Hicham Redwane (2014)
Applicationes Mathematicae
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We prove the existence and uniqueness of a renormalized solution for a class of nonlinear parabolic equations with no growth assumption on the nonlinearities.
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E. Jan W. ter Maten, G.L.G. Sleijpen (1986)
Numerische Mathematik
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G. Fairweather, J.P. Johnson (1974/75)
Numerische Mathematik
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Existence of explosive solutions to some nonlinear parabolic Itô equations
Pao-Liu Chow (2015)
Banach Center Publications
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The paper is concerned with the problem of existence of explosive solutions for a class of nonlinear parabolic Itô equations. Under some sufficient conditions on the initial state and the coefficients, it is proven by the method of auxiliary functionals that there exist explosive solutions with positive probability. The main results are presented in Theorems 3.1 and 3.2 under different sets of conditions. An example is given to illustrate some application of the second theorem. ...
Existence result for a class of doubly nonlinear parabolic systems
Ahmed Aberqi, Jaouad Bennouna, Hicham Redwane (2014)
Applicationes Mathematicae
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We prove the existence of a renormalized solution to a class of doubly nonlinear parabolic systems.