Results 301 to 310 of about 11,623,619 (358)
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2013
In this chapter we study the Cauchy problems for one-dimensional scalar conservation laws. In particular, we prove that the Cauchy problem is well posed in the class of entropy weak solutions, in the sense that it admits a unique entropy weak solution. The existence of the solutions is proved by the method of wave front tracking.
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In this chapter we study the Cauchy problems for one-dimensional scalar conservation laws. In particular, we prove that the Cauchy problem is well posed in the class of entropy weak solutions, in the sense that it admits a unique entropy weak solution. The existence of the solutions is proved by the method of wave front tracking.
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2019
We now analyze Cauchy type problems of differential equations of fractional order with Hilfer and Hilfer-Prabhakar derivative operators. The existence and uniqueness theorems for n-term nonlinear fractional differential equations with Hilfer fractional derivatives of arbitrary orders and types will be proved.
Trifce Sandev, Živorad Tomovski
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We now analyze Cauchy type problems of differential equations of fractional order with Hilfer and Hilfer-Prabhakar derivative operators. The existence and uniqueness theorems for n-term nonlinear fractional differential equations with Hilfer fractional derivatives of arbitrary orders and types will be proved.
Trifce Sandev, Živorad Tomovski
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Cauchy Problem for Dissipative Hölder Solutions to the Incompressible Euler Equations
, 2013We consider solutions to the Cauchy problem for the incompressible Euler equations on the 3-dimensional torus which are continuous or Hölder continuous for any exponent $${\theta < \frac{1}{16 ...
S. Daneri
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1992
In this last chapter, we will state and prove a theorem of Lebeau [L4] giving a geometric upper bound for the wave front set of the solution of a semilinear wave equation with Cauchy data conormal along an analytic submanifold of the Cauchy hyperplane t = O.
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In this last chapter, we will state and prove a theorem of Lebeau [L4] giving a geometric upper bound for the wave front set of the solution of a semilinear wave equation with Cauchy data conormal along an analytic submanifold of the Cauchy hyperplane t = O.
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Applied Mathematics and Computation, 2004
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2008
Abstract This chapter begins with a discussion of moving frame formulae. It then covers n + 1 splitting adapted to space slices, constraints and evolution, Hamiltonian and symplectic formulation, Cauchy problem, wave gauges, local existence for the full Einstein equations, constraints in a wave gauge, and Einstein equations with field ...
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Abstract This chapter begins with a discussion of moving frame formulae. It then covers n + 1 splitting adapted to space slices, constraints and evolution, Hamiltonian and symplectic formulation, Cauchy problem, wave gauges, local existence for the full Einstein equations, constraints in a wave gauge, and Einstein equations with field ...
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On the Nonlinear Cauchy Problem
2006Our aim is to describe how to obtain, with the same procedure, several results of local existence, uniqueness and propagation of regularity for the solution of a quasilinear hyperbolic Cauchy Problem.
CICOGNANI, Massimo, ZANGHIRATI, Luisa
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The truncation method for the Cauchy problem of the inhomogeneous Helmholtz equation
, 2019Fan Yang, Pan Zhang, Xiao-xiao Li
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Navigating financial toxicity in patients with cancer: A multidisciplinary management approach
Ca-A Cancer Journal for Clinicians, 2022Grace Li Smith +2 more
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