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Page 2232 of Mathematical Reviews Vol. , Issue 84f
[page]
1984
Mathematical Reviews
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The theme of the conference was on time- dependent nonlinear partial differential equations; in particular, the majority of the speakers lectured either on shock waves or reaction-diffusion equations and ...
of singularities for nonlinear hyperbolic partial differential equations (pp. 45-56); Ronald J. ...
List of talks
1985
Journal of Computational and Applied Mathematics
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(Taiwan): Symbolic solution for partial differential equation by associative approach. CUYT A. (Belgium): A review of multivariate Pad6 approximation. DARGAHI-NOUBARY G.R. ...
(Belgium): The auxiliary boundary element method for time dependent problems. DE SITTER J. ...
(West Germany): Numerical treatment of time dependent coupled partial differential equations based on error minimization. ERLICH M. (France): On stochastic models of sedimentation process. ...
doi:10.1016/0377-0427(85)90003-2
fatcat:fzodha5wmzainl37dzusulyoje
Page 3273 of Mathematical Reviews Vol. , Issue 2001E
[page]
2001
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-bounded solution for some interval of time, and that this solution is unique. Condi- tions for Hélder continuity of the solution to the linear equation were also given. ...
of the solutions of such equations to that of a nonlinear stochastic partial differential equation which describes the evolution law of the curvature of F. ...
Page 3051 of Mathematical Reviews Vol. , Issue 94f
[page]
1994
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Popiotek, On the Cauchy-Dirichlet problem for an equation of third order (473- 483); J. Priiss, Linear evolutionary integral equations on the line (485-513); I. A. Shishmarév and P. I. ...
theory of systems of linear partial differential equations (275- 283); Albrecht Holderrieth, Commuting multiplicative perturba- tions (285-290); Sen Zhong Huang and F. ...
Page 797 of Mathematical Reviews Vol. , Issue 94b
[page]
1994
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(RS-AOS-C; Moscow)
On the limit behavior of a bounded solution of a system of first- order evolution quasilinear partial differential equations under an unbounded time increase. (Russian. ...
Differential Integral Equations 6 (1993), no. 3, 613-626.
The author considers the large-time behavior of the solution of the problem u, = (u"-! ...
Page 1488 of Mathematical Reviews Vol. , Issue 95c
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1995
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In this interesting paper the authors extend the well-known Flo- quet theory for time-periodic linear ordinary differential equations to scalar parabolic partial differential equations (1) u,; = ux. + ...
In the linear case it is proven that given any solution to the hyper- bolic equations there is always a solution to the diffusion equation which after a short time stays very close to it for all times. ...
Page 5417 of Mathematical Reviews Vol. , Issue 91J
[page]
1991
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(E-MADC-AM) Boundedness and blow up for a semilinear reaction-diffusion system. J. Differential Equations 89 (1991), no. 1, 176-202. ...
(F-PARIS9-A) Interior gradient bounds for the mean curvature equation by viscosity solutions methods. Differential Integral Equations 4 (1991), no. 2, 263-275. ...
A waveform relaxation algorithm with overlapping splitting for reaction diffusion equations
1999
Numerical Linear Algebra with Applications
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It is shown for a scalar reaction diffusion equation with variable diffusion coefficient that the new waveform relaxation algorithm converges superlinearly for bounded time intervals and linearly for unbounded ...
Two classical convergence results state linear convergence on unbounded time intervals for linear systems of ODEs under some dissipation assumption and superlinear convergence on bounded time intervals ...
of the iteration on bounded time intervals. ...
doi:10.1002/(sici)1099-1506(199903)6:2<125::aid-nla152>3.0.co;2-4
fatcat:inpngfkj5vfobftejj4nf5eteq
Page 5187 of Mathematical Reviews Vol. , Issue 98H
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1998
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Similarly, in this paper, we define the integral solution for a stochastic evolution equation with a state-dependent diffusion term and prove that there exists a unique integral solution of the stochastic ...
Stochastic Equations 4 (1996), no. 3, 251-272. Summary: “We study a linear differential equation in R" with almost constant coefficients that depend linearly on a Markov diffusion process. ...
Book Review: Global classical solutions for nonlinear evolution equations
1993
Bulletin of the American Mathematical Society
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Evolution equations are partial differential equations whose solutions one studies as functions of a distinguished independent variable t, called time. ...
Specifically, one asks for ( 1 ) local existence (to find classes of functions for which at least one solution exists for at least a nontrivial interval of time), (2) global existence (to find classes ...
Nevertheless, it would make a nice choice for a part of a graduate course designed as a sequel to a course on linear partial differential equations. ...
doi:10.1090/s0273-0979-1993-00415-4
fatcat:l6brapwlnzcbtbfhjjcoqfjjbq
Partial differential systems with non-local nonlinearities: generation and solutions
2018
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
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We develop a method for generating solutions to large classes of evolutionary partial differential systems with nonlocal nonlinearities. ...
For arbitrary initial data, the solutions are generated from the corresponding linearized equations. The key is a Fredholm integral equation relating the linearized flow to an auxiliary linear flow. ...
The work of M.B. was partially supported by US National Science Foundation grant DMS-1411460. ...
doi:10.1098/rsta.2017.0195
pmid:29507179
fatcat:q6vtbp7bmja4lk5hbdhzejt7vm
Page 5432 of Mathematical Reviews Vol. , Issue 85m
[page]
1985
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A. 85m:35003 A modification of the accelerated analytic method for approximate integration of linear partial differential equations. (Russian) ...
Dey, An implicit numerical solver for nonlinear hy- perbolic partial differential equations (pp. 79-91); William Layton, On the behavior over long time intervals of finite difference and finite element ...
Page 4236 of Mathematical Reviews Vol. , Issue 97G
[page]
1997
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The book is fairly well written and provides a good introduction to this interesting field of nonlinear partial differential equations. ...
Summary: “The asymptotic stability of shock profiles is proved for a nonconvex convection-diffusion equation by using weighted energy estimates for the integrated equation. ...
Page 4631 of Mathematical Reviews Vol. , Issue 95h
[page]
1995
Mathematical Reviews
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The unitary symmetries of linear partial differential equations are employed to decompose some Hilbert spaces of solutions preserved by the symmetries into direct integrals in the sense of Mackey. ...
Then H decomposes as a direct integral H = {, H; di, where H, are solutions of cer- tain ordinary differential operators depending on A.
J. ...
Page 2347 of Mathematical Reviews Vol. , Issue 95d
[page]
1995
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Schultz (1-WIM; Milwaukee, WI)
65M _ Partial differential equations, initial value and time-dependent initial-boundary value problems
954:65075
95d:65072 65M06 35A35
Jédar, L. ...
That is, they consider a system of nonlinear equations with nonlinear diffusion and thermal capacity coefficients. ...
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