Minimal solutions to a class of parabolic partial differential equations [PDF]
Proceedings of the American Mathematical Society, 1969 The problem considered is that of minimizing a linear function \(L(u(t^1,x))\) on the class of linear functionals satisfying (*) \(u_t = Eu\) and certain initial and boundary conditions on a set \(T\times \Omega_0\) where \(T= [t^0,t^1]\), \(\Omega_0\) is a compact subset in Euclidean space and \(E\in\mathcal E\), a set of linear elliptic operators ...
Guinn, T., Landesman, E. M.
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On the Weak Characteristic Function Method for a Degenerate Parabolic Equation
Journal of Function Spaces, 2019 For a nonlinear degenerate parabolic equation, how to impose a suitable boundary value condition to ensure the well-posedness of weak solutions is a very important problem.
Huashui Zhan
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Solvability and completeness of solutions of parabolic differential-operator equations [PDF]
Математичні Студії, 2011 We consider an abstract Cauchy problem for parabolic differential-operator equations in Hilbert spaces. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system of parabolic differential equations.
M. M. Mamedov
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Numerical solution of an intuitionistic fuzzy parabolic partial differential equation using an explicit cubic spline method [PDF]
Notes on IFSThis paper presents a numerical approach for solving intuitionistic fuzzy parabolic partial differential equations (IFPPDEs) using the explicit cubic spline method. Intuitionistic fuzzy systems, which extend classical fuzzy sets by incorporating a degree
Deepak Kumar Sah, Sreenivasulu Ballem
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Monotonicity property for a class of semilinear partial differential equations
, 1999 We establish a monotonicity property in the space variable for the solutions of an initial boundary value problem concerned with the parabolic partial differential equation connected with super-Brownian ...
Athreya, Siva
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Solution of parabolic partial differential equations
Applied Mathematical Modelling, 1981 In their paper, 1 Curran et al. express some reservation concerning the suggestion 2 that the time dependence in parabolic differential equations be removed by taking the Laplace transform. The caution arises from the necessity for numerical inversion which, they feared, could lead to severe problems.
Heydarian, M. +2 more
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, 1996 We use the path-vMued process called the "Brownian snake" to investigate the trace at the boundary of nonnegative solutions of a semilinear parabolic partial differential equation.
J. Gall
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A continuous time tug-of-war game for parabolic $p(x,t)$-Laplace type equations
, 2018 We formulate a stochastic differential game in continuous time that represents the unique viscosity solution to a terminal value problem for a parabolic partial differential equation involving the normalized $p(x,t)$-Laplace operator.
Heino, Joonas
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Solution of Parabolic Partial Differential Equations by Non-Polynomial Cubic Spline Technique
Scientific Inquiry and Review, 2021 Parabolic partial differential equation having a great impact on our scientific, engineering and technology. Enormous research have been conducted for the solution of parabolic PDEs. .
Bilal Ahmad +3 more
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On solvability of a mixed value problem for nonlinear partial differential equation of higher order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The questions of one valued generalized solvability of mixed value problem for nonlinear partial differential equation with the parabolic operator of arbitrary natural power are studied. The separation of variables is used.
Tursun K Yuldashev
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