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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 66
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 4, August 2015
  4. Well-posedness results for the short pulse equation
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 6, December 2015
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 5, October 2015
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 4, August 2015
TEM wave radiation from a dielectric-filled coaxial waveguide with a large circumferential gap on its outer wall
Invariant algebraic surfaces for a virus dynamics
Twisted stacked central configurations for the spatial nine-body problem
Orbital instability of standing waves for the quadratic–cubic Klein-Gordon–Schrödinger system
Existence and stability of traveling wave solutions for multilayer cellular neural networks
The Redner–Ben-Avraham–Kahng coagulation system with constant coefficients: the finite-dimensional case
The Nehari manifold for nonlocal elliptic operators involving concave–convex nonlinearities
Improving the averaging theory for computing periodic solutions of the differential equations
Bifurcation under parameter change of Riemann solutions for nonstrictly hyperbolic systems
Boundary behavior of large viscosity solutions to infinity Laplace equations
Life span of solutions to a nonlocal in time nonlinear fractional Schrödinger equation
The existence of normalized solutions for L 2-critical constrained problems related to Kirchhoff equations
Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay
A general decay result of a viscoelastic equation with past history and boundary feedback
Well-posedness results for the short pulse equation
Well-posedness of the modified Camassa–Holm equation in Besov spaces
Uniform well-posedness and singular limits of the isentropic Navier–Stokes–Maxwell system in a bounded domain
Existence and general decay for nondissipative distributed systems with boundary frictional and memory dampings and acoustic boundary conditions
Multi-bump solutions of Schrödinger–Poisson equations with steep potential well
Global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant
On the nonlinear Schrödinger–Poisson systems with sign-changing potential
The exponentiated Hencky-logarithmic strain energy. Part II: Coercivity, planar polyconvexity and existence of minimizers
On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects
An almost Serrin-type regularity criterion for the Navier–Stokes equations involving the gradient of one velocity component
Spectrum and stability analysis for a transmission problem in thermoelasticity with a concentrated mass
Sampling theory for Sturm–Liouville problem with boundary and transmission conditions containing an eigenparameter
Exponential stabilization of magnetoelastic waves in a Mindlin–Timoshenko plate by localized internal damping
Global classical solutions of 3D isentropic compressible MHD with general initial data
A note on the polynomial stability of a weakly damped elastic abstract system
Plane Poiseuille flow and thermal transpiration of a highly rarefied gas between the two walls of Maxwell-type boundaries with different accommodation coefficients: effect of a weak external force
An analytical approach to the strong evaporation problem in rarefied gas dynamics
Effective thermal conductivity of helium II: from Landau to Gorter–Mellink regimes
Contribution of the normal component to the thermal resistance of turbulent liquid helium
A microstructure- and surface energy-dependent third-order shear deformation beam model
A shear–shear torsional beam model for nonlinear aeroelastic analysis of tower buildings
Elastostatic bending of a bimaterial plate with a circular interface
Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body
Higher-order asymptotic result for the wrinkling of an everted Varga spherical shell
On the failure of the ‘Similar Piezoelectric Control’ in preventing loss of stability by nonconservative positional forces
A contact problem for a thermoelastic Timoshenko beam
A mode III arc-shaped crack with surface elasticity
Two-dimensional Green’s functions for the fluid and piezoelectric two-phase plane under the line forces and line charge
Shape sensitivity analysis of the energy integrals for the Timoshenko-type plate containing a crack on the boundary of a rigid inclusion
Thick fibrous composite reinforcements behave as special second-gradient materials: three-point bending of 3D interlocks
On thermal radiation across nanoscale gaps
On a class of reciprocal Stefan moving boundary problems
A note on the classical weak and strong maximum principles for linear parabolic partial differential inequalities
Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 3, June 2015
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 2, April 2015
Zeitschrift für angewandte Mathematik und Physik : Volume 66, Issue 1, February 2015
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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Well-posedness results for the short pulse equation

Content Provider SpringerLink
Author Ruvo, Lorenzo Coclite, Giuseppe Maria
Copyright Year 2014
Abstract The short pulse equation provides a model for the propagation of ultra-short light pulses in silica optical fibers. It is a nonlinear evolution equation. In this paper, the well-posedness of bounded solutions for the homogeneous initial boundary value problem and the Cauchy problem associated with this equation are studied.
Ending Page 1557
Page Count 29
Starting Page 1529
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 4
Volume Number 66
Language English
Publisher Springer Basel
Publisher Date 2014-11-23
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Wave equation Boundary value problems for linear higher-order equations Boundary value problems Stability Uniqueness Theoretical and Applied Mechanics Initial value problems for nonlinear higher-order equations Cauchy problem Conservation laws Short pulse equation Mathematical Methods in Physics Entropy solutions Existence
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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