Results 1 to 10 of about 70 (68)
Renormalizing partial differential equations [PDF]
, 2008 In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on several examples of nonlinear parabolic equations. We discuss many applications, including the stability of profiles and fronts in the Ginzburg-Landau equation,
Bricmont, J., Kupiainen, A.
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Arithmetic partial differential equations, I
Advances in Mathematics, 2010 Updated version of paper includes new results on ...
Buium, Alexandru, Simanca, Santiago R.
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Implicit Partial Differential Equations [PDF]
, 1999 Progress in Nonlinear Differential Equations and their Applications ...
B. DACOROGNA, MARCELLINI, PAOLO
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SYMMETRIES OF PARTIAL DIFFERENTIAL EQUATIONS [PDF]
Journal of the Korean Mathematical Society, 2003 We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n. Using the recent developments of Cauchy-Riemann geometry we provide the set of symmetries of such a system with a Lie group structure.
Gaussier, Hervé, Merker, Joel
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Superprocesses and Partial Differential Equations
The Annals of Probability, 1993 This is a survey of recent developments on measure-valued Markov processes including a number of the author's important contributions. This subject has its origins in the paper of \textit{S. Watanabe} [J. Math. Kyoto Univ. 8, 141-167 (1968; Zbl 0159.462)] in which a class of measure-valued branching processes was constructed based on a family of ...
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A Partial Functional Differential Equation
Journal of Mathematical Analysis and Applications, 2001 The author of this interesting paper investigates the partial functional differential equation \[ \partial u(x,t)\partial t =k \partial^2 u(x,t)\partial x^2+ru(x,t-T)[1-u(x,t)], \;\;t\geq 0, \;\;x\in [{}0,\pi ]{} \] under the boundary condition \(u(0,t)=u(\pi ,t)=0\) (\(t>0\)) and \(u(x,s)=\phi (x,s)\), \(-T\leq s\leq 0\), \(0\leq x\leq \pi \).
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Partial Differential Equations [PDF]
Oberwolfach Reports, 2014 This workshop focused on nonlinear elliptic and parabolic partial differential equations, touching topics such as geometric flows, geometric variational problems and minimal surfaces, free boundaries, and geometric measure theory.
Sun-Yung Alice Chang +2 more
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Partial differential equations. An outline
Computers & Mathematics with ApplicationsThis is a chart which may serve as an outline of classification, solution and examples for partial differential equations.
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Regular Partial Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1958 Birkhoff, Garrett, Mullikin, Thomas
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On the Coalgebra of Partial Differential Equations
, 2019 We note that the coalgebra of formal power series in commutative variables is final in a certain subclass of coalgebras. Moreover, a system Sigma of polynomial PDEs, under a coherence condition, naturally induces such a coalgebra over differential polynomial expressions.
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