Results 11 to 20 of about 138,198 (291)
Regular polynomial interpolation and approximation of global solutions of linear partial differential equations [PDF]
, 2007 We consider regular polynomial interpolation algorithms on recursively defined sets of interpolation points which approximate global solutions of arbitrary well-posed systems of linear partial differential equations.
Kampen, Joerg
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Higher order nonlinear degenerate parabolic equations
Journal of Differential Equations, 1990 The paper deals with a few existence and positivity results for higher order, possibly degenerate, nonlinear parabolic equations. The equations under investigation are of the type \[ \frac{du}{dt}+\frac{\partial}{\partial \kappa}(f(u)\frac{\partial^{2m+1}u}{\partial \kappa^{2m+1}})=0 \] where \(f(u)=| u|^ m\) \(f_ 0(u)\) with \(n\geq 1\) and \(f_ 0(u ...
Bernis, Francisco, Friedman, Avner
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Rough surface backscatter and statistics via extended parabolic integral equation [PDF]
, 2015 This paper extends the parabolic integral equation method, which is very effective for forward scattering from rough surfaces, to include backscatter.
Spivack, Mark, Spivack, Orsola Rath
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Journal of Kufa for Mathematics and Computer, 2013 In this paper we use the higher order differences for second order (derivative)  in solving parabolic partial delay differential equations by using the explicit method and we get results are more closer to the exact values than the results which can ...
Amal Khalaf Haydar
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Universal estimate of the gradient for parabolic equations [PDF]
, 2008 We suggest a modification of the estimate for weighted Sobolev norms of solutions of parabolic equations such that the matrix of the higher order coefficients is included into the weight for the gradient. More precisely, we found the upper limit estimate
Dokuchaev N G +4 more
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Critical global asymptotics in higher-order semilinear parabolic equations
International Journal of Mathematics and Mathematical Sciences, 2003 We consider a higher-order semilinear parabolic equation ut=−(−Δ)mu−g(x,u) in ℝN×ℝ+, m>1. The nonlinear term is homogeneous: g(x,su)≡|s|p−1sg(x,u) and g(sx,u)≡|s|Qg(x,u) for any s∈ℝ, with exponents P>1, and Q>−2m.
Victor A. Galaktionov
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Multivalued solutions of multidimensional linear equations of heat conduction and rivertons
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 Background. The article considers the problem of calculating multivalued solutions of multidimensional linear parabolic equations. Solutions for this type of equations of heat conductivity in dimension d > 2 were not previously known and represent an ...
V.M. Zhuravlev, V.M. Morozov
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Pointwise two-scale expansion for parabolic equations with random coefficients [PDF]
, 2015 We investigate the first-order correction in the homogenization of linear parabolic equations with random coefficients. In dimension $3$ and higher and for coefficients having a finite range of dependence, we prove a pointwise version of the two-scale ...
Gu, Yu, Mourrat, Jean-Christophe
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Higher-order parabolic equations without conditions at infinity
Journal of Mathematical Analysis and Applications, 2002 This paper is devoted to the following Cauchy problem: \[ \begin{cases} \rho\frac {\partial u}{\partial t}=\sum^m_{k=0}(-1)^{k+1} \frac {\partial^k}{\partial x^k} \left(a_k\frac {\partial^ku}{\partial x^k} \right)- c_0| u|^{p-1}u\quad &\text{in }S=\mathbb{R}\times(0,T)\\ u=u_0\quad &\text{in }\mathbb{R}\times \{0\},\end{cases}\tag{1} \] where \(p>1\), \
MARCHI, CLAUDIO, TESEI A.
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Boundary value problems for higher order parabolic equations [PDF]
Transactions of the American Mathematical Society, 2000 We consider a constant coefficient parabolic equation of order 2 m 2m and establish the existence of solutions to the initial-Dirichlet problem in cylindrical domains. The lateral data is taken from spaces of Whitney arrays which essentially require that the normal derivatives up to order m −
Brown, Russell M., Hu, Wei
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