Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative

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A01=Gennadii V. Demidenko
A01=Stanislav V. Upsenskii
advanced fluid mechanics
amplitude
applied mathematics research
Approximate Solutions
Author_Gennadii V. Demidenko
Author_Stanislav V. Upsenskii
boundary value analysis
Category=PBKJ
cauchy
Cauchy Problem
Contour Integral
Cylindrical Domains
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
fourier
Fourier Operator
Fredholm Equation
function
Hausdorff Young Inequality
Higher Order Time Derivative
hydrodynamic equations
Laplace Transform
Linear Normed Space
Lower Order Terms
mathematical physics
Minkowski Inequality
Mixed Problem
Newton Leibniz Formula
operator
Ordinary Differential Equation
Orthogonality Conditions
oscillations
Parseval Identity
problem
Pseudoparabolic Equations
rotating fluid dynamics
small
Small Amplitude Oscillations
Sobolev Spaces
solvability in partial differential equations
Uniquely Solvable
vector-valued
weak
Weak Derivatives
Weight Sobolev Spaces
Young Inequality
Zeroth Order Moment

Product details

  • ISBN 9780824740399
  • Weight: 861g
  • Dimensions: 156 x 234mm
  • Publication Date: 25 Apr 2003
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Offering in-depth analyses of current theories and approaches related to Sobolev-type equations and systems, this reference is the first to introduce a classification of equations and systems not solvable with respect to the highest order derivative, and it studies boundary value problems for these classes of equations. Presenting 2200 equations, this volume studies specific partial differential equations for applications in mechanics, physics, hydrodynamics, and oceanography and presents previously unpublished results, solvability theorems, and research. It includes mathematical results from S.L. Sobolev's study on the small oscillations of a rotating fluid and more.

Demidenko\, Gennadii V.; Upsenskii\, Stanislav V.

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