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Displaying 381 – 400 of 515

Multidimensional decay in the van der Corput lemma

Michael Ruzhansky (2012)

Studia Mathematica

We establish a multidimensional decay of oscillatory integrals with degenerate stationary points, gaining the decay with respect to all space variables. This bridges the gap between the one-dimensional decay for degenerate stationary points given by the classical van der Corput lemma and the multidimensional decay for non-degenerate stationary points given by the stationary phase method. Complex-valued phase functions as well as phases and amplitudes of limited regularity are considered. Conditions...

Multidimensional exact solutions to a quasilinear parabolic equation with anisotropic heat conductivity.

Semenov, E.I. (2006)

Sibirskij Matematicheskij Zhurnal

Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation.

Abdulla, Ugur G. (2005)

Boundary Value Problems [electronic only]

Multi-dimensional Riemann problems for linear hyperbolic systems

Hervé Gilquin, Jérôme Laurens, Carole Rosier (1996)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Multidimensional two-particles problem with non-central potential

D. V. Choodnovsky, G. V. Choodnovsky (1977/1978)

Séminaire sur les équations non linéaires (Choodnovsky)

Multigrid for the Wilson mortar element method.

Shi, Zhongci, Xu, Xuejun (2001)

Computational Methods in Applied Mathematics

Multigrid Methods for Boundary Integral Equations.

H. Schippers (1985)

Numerische Mathematik

Multi-Grid Methods for Hamiltonian-Jacobi-Bellmann Equations.

Ronald H.W. Hoppe (1986)

Numerische Mathematik

Multi-helicoidal Euclidean submanifolds of constant sectional curvature.

Ripoll, Jaime, Tojeiro, Ruy (2001)

Beiträge zur Algebra und Geometrie

Multilevel correction adaptive finite element method for semilinear elliptic equation

Qun Lin, Hehu Xie, Fei Xu (2015)

Applications of Mathematics

A type of adaptive finite element method is presented for semilinear elliptic problems based on multilevel correction scheme. The main idea of the method is to transform the semilinear elliptic equation into a sequence of linearized boundary value problems on the adaptive partitions and some semilinear elliptic problems on very low dimensional finite element spaces. Hence, solving the semilinear elliptic problem can reach almost the same efficiency as the adaptive method for the associated boundary...

Multilevel Modeling of the Forest Resource Dynamics

I. N. Vladimirov, A. K. Chudnenko (2009)

Mathematical Modelling of Natural Phenomena

We examine the theoretical and applications-specific issues relating to modeling the temporal and spatial dynamics of forest ecosystems, based on the principles of investigating dynamical models. When developing the predictive dynamical models of forest resources, there is a possibility of achieving uniqueness of the solutions to equations by taking into account the initial and boundary conditions of the solution, and the conditions of the geographical environment. We present the results of a computer...

Multilevel preconditioners for Lagrange multipliers in domain imbedding.

Martikainen, Janne, Rossi, Tuomo, Toivanen, Jari (2003)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Multilevel preconditioning.

Wolfgang Dahmen, Angela Kunoth (1992)

Numerische Mathematik

Multilevel projection methods for nonlinear least-squares finite element computations.

Korsawe, Johannes, Starke, Gerhard (2000)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Multilevel Schwarz methods.

Xuejun Zhang (1992)

Numerische Mathematik

Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations

Nicolas Burq, Patrick Gérard, Nikolay Tzvetkov (2005)

Annales scientifiques de l'École Normale Supérieure

Multipdimensional two-phase quasistationary Stefan Problem.

Boris Zaltzman (1993)

Manuscripta mathematica

Multi-peak bound states for nonlinear Schrödinger equations

Manuel Del Pino, Patricio L. Felmer (1998)

Annales de l'I.H.P. Analyse non linéaire

Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions

Silvia Cingolani, Louis Jeanjean, Simone Secchi (2009)

ESAIM: Control, Optimisation and Calculus of Variations

In this work we consider the magnetic NLS equation ${(\frac{ℏ}{i} \nabla - A (x))}^{2} u + V (x) u - {f (| u |}^{2}) u = 0 in ℝ^{N} (0.1)$ where $N \geq 3$ , $A : ℝ^{N} \to ℝ^{N}$ is a magnetic potential, possibly unbounded, $V : ℝ^{N} \to ℝ$ is a multi-well electric potential, which can vanish somewhere, $f$ is a subcritical nonlinear term. We prove the existence of a semiclassical multi-peak solution $u : ℝ^{N} \to ℂ$ to (0.1), under conditions on the nonlinearity which are nearly optimal.

Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions

Silvia Cingolani, Louis Jeanjean, Simone Secchi (2008)

ESAIM: Control, Optimisation and Calculus of Variations

In this work we consider the magnetic NLS equation ${(\frac{ℏ}{i} \nabla - A (x))}^{2} u + V (x) u - {f (| u |}^{2}) u = 0 in ℝ^{N} (0.1)$ where $N \geq 3$ , $A : ℝ^{N} \to ℝ^{N}$ is a magnetic potential, possibly unbounded, $V : ℝ^{N} \to ℝ$ is a multi-well electric potential, which can vanish somewhere, f is a subcritical nonlinear term. We prove the existence of a semiclassical multi-peak solution $u : ℝ^{N} \to ℂ$ to (0.1), under conditions on the nonlinearity which are nearly optimal.

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