Results 1  10
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19,016
for parabolic initial boundary value problems
, 2011
"... A flexible spacetime discontinuous Galerkin method for parabolic initial boundary value problems ..."
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A flexible spacetime discontinuous Galerkin method for parabolic initial boundary value problems
Initialboundary value problems for an extensible beam
 J. Math. Analysis and Applications
, 1973
"... In this paper we discuss certain initialboundary value problems for the nonlinear beam equation where the constants OL and k are positive. Equation (1.1) was proposed by WoinowskyKrieger [28] as a model for ..."
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Cited by 18 (0 self)
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In this paper we discuss certain initialboundary value problems for the nonlinear beam equation where the constants OL and k are positive. Equation (1.1) was proposed by WoinowskyKrieger [28] as a model for
Initialboundary value problems for parabolic equations.
 Institut MittagLeffler, Report
, 2000
"... Abstract. We prove new existence and uniqueness results for weak solutions to nonhomogeneous initialboundary value problems for parabolic equations modeled on the evolution of the pLaplacian. ..."
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Cited by 1 (0 self)
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Abstract. We prove new existence and uniqueness results for weak solutions to nonhomogeneous initialboundary value problems for parabolic equations modeled on the evolution of the pLaplacian.
Trapezoidal and midpoint splittings for initialboundary value problems
 Math. Comp
, 1998
"... Abstract. In this paper we consider various multicomponent splittings based on the trapezoidal rule and the implicit midpoint rule. It will be shown that an important requirement on such methods is internal stability. The methods will be applied to initialboundary value problems. Along with a theo ..."
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Cited by 10 (2 self)
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Abstract. In this paper we consider various multicomponent splittings based on the trapezoidal rule and the implicit midpoint rule. It will be shown that an important requirement on such methods is internal stability. The methods will be applied to initialboundary value problems. Along with a
CHARACTERISTIC INITIAL BOUNDARY VALUE PROBLEMS FOR SYMMETRIZABLE SYSTEMS
"... Abstract. We consider an initialboundary value problem for a linear Friedrichs symmetrizable system, with characteristic boundary of constant rank. Assuming that the problem is L 2 well posed, we show the regularity of the L 2 solution, for sufficiently smooth data, in the framework of anisotropic ..."
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Abstract. We consider an initialboundary value problem for a linear Friedrichs symmetrizable system, with characteristic boundary of constant rank. Assuming that the problem is L 2 well posed, we show the regularity of the L 2 solution, for sufficiently smooth data, in the framework of anisotropic
Wellposedness of hyperbolic Initial Boundary Value Problems
, 2004
"... Assuming that a hyperbolic initial boundary value problem satsifies an a priori energy estimate with a loss of one tangential derivative, we show a wellposedness result in the sense of Hadamard. The coefficients are assumed to have only finite smoothness in view of applications to nonlinear problem ..."
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Cited by 9 (2 self)
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Assuming that a hyperbolic initial boundary value problem satsifies an a priori energy estimate with a loss of one tangential derivative, we show a wellposedness result in the sense of Hadamard. The coefficients are assumed to have only finite smoothness in view of applications to nonlinear
INITIALBOUNDARY VALUE PROBLEMS FOR LINEAR AND SOLITON PDEs
, 2002
"... Evolution PDEs for dispersive waves are considered in both linear and nonlinear integrable cases, and initialboundary value problems associated with them are formulated in spectral space. A method of solution is presented, which is based on the elimination of the unknown boundary values by proper r ..."
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Cited by 7 (1 self)
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Evolution PDEs for dispersive waves are considered in both linear and nonlinear integrable cases, and initialboundary value problems associated with them are formulated in spectral space. A method of solution is presented, which is based on the elimination of the unknown boundary values by proper
On the Initial Boundary Value Problem for Temple Systems
, 2003
"... We consider the initial boundary value problem for a nonlinear n x n system of conservation laws with coinciding shock and rarefaction curves and with a coordinate system made of Riemann invariants. Characteristic fifelds are not assumed either genuinely non linear or linearly degenerate. Neverthele ..."
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Cited by 4 (3 self)
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We consider the initial boundary value problem for a nonlinear n x n system of conservation laws with coinciding shock and rarefaction curves and with a coordinate system made of Riemann invariants. Characteristic fifelds are not assumed either genuinely non linear or linearly degenerate
SETS OF SOLUTIONS OF NONLINEAR INITIALBOUNDARY VALUE PROBLEMS
"... Abstract. In this paper we deal with the general initialboundary value problem for a second order nonlinear nonstationary evolution equation. The associated operator equation is studied by the Fredholm and Nemitskiĭ operator theory. Under local Hölder conditions for the nonlinear member we observe ..."
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Cited by 1 (0 self)
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Abstract. In this paper we deal with the general initialboundary value problem for a second order nonlinear nonstationary evolution equation. The associated operator equation is studied by the Fredholm and Nemitskiĭ operator theory. Under local Hölder conditions for the nonlinear member we observe
HERMITE METHODS FOR HYPERBOLIC INITIALBOUNDARY VALUE PROBLEMS
, 2005
"... We study arbitraryorder Hermite difference methods for the numerical solution of initialboundary value problems for symmetric hyperbolic systems. These differ from standard difference methods in that derivative data (or equivalently local polynomial expansions) are carried at each grid point. Tim ..."
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Cited by 1 (1 self)
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We study arbitraryorder Hermite difference methods for the numerical solution of initialboundary value problems for symmetric hyperbolic systems. These differ from standard difference methods in that derivative data (or equivalently local polynomial expansions) are carried at each grid point
Results 1  10
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19,016