Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order

V. Vougalter; V. Volpert

Mathematical Modelling of Natural Phenomena (2012)

  • Volume: 7, Issue: 2, page 146-154
  • ISSN: 0973-5348

Abstract

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We obtain solvability conditions in H6(ℝ3) for a sixth order partial differential equation which is the linearized Cahn-Hilliard problem using the results derived for a Schrödinger type operator without Fredholm property in our preceding article [18].

How to cite

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Vougalter, V., and Volpert, V.. "Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order." Mathematical Modelling of Natural Phenomena 7.2 (2012): 146-154. <http://eudml.org/doc/222314>.

@article{Vougalter2012,
abstract = {We obtain solvability conditions in H6(ℝ3) for a sixth order partial differential equation which is the linearized Cahn-Hilliard problem using the results derived for a Schrödinger type operator without Fredholm property in our preceding article [18].},
author = {Vougalter, V., Volpert, V.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {solvability conditions; non Fredholm operators; Sobolev spaces},
language = {eng},
month = {2},
number = {2},
pages = {146-154},
publisher = {EDP Sciences},
title = {Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order},
url = {http://eudml.org/doc/222314},
volume = {7},
year = {2012},
}

TY - JOUR
AU - Vougalter, V.
AU - Volpert, V.
TI - Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order
JO - Mathematical Modelling of Natural Phenomena
DA - 2012/2//
PB - EDP Sciences
VL - 7
IS - 2
SP - 146
EP - 154
AB - We obtain solvability conditions in H6(ℝ3) for a sixth order partial differential equation which is the linearized Cahn-Hilliard problem using the results derived for a Schrödinger type operator without Fredholm property in our preceding article [18].
LA - eng
KW - solvability conditions; non Fredholm operators; Sobolev spaces
UR - http://eudml.org/doc/222314
ER -

References

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