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An existence result for evolution equations in non-cylindrical domains

Fabio Paronetto

Nonlinear Differential Equations and Applications NoDEA · 2013 · 24 citations · 2 references

Open access

Concepts

Natural SciencesMathematicsDynamical SystemsFluid DynamicsBoundary ConditionsContinuity EquationExistence TheoryMoving Boundary ProblemsNavier-stokes EquationsPartial Differential EquationsDissipative Dynamical SystemsExistence ConditionsFree-boundary ProblemsInitial Boundary ConditionsUniqueness In Elliptic EquationsUniqueness Theorems For Partial Differential Equations

References

2

Well-posedness of the Dirichlet problem for the non-linear diffusion equation in non-smooth domains

Ugur G. Abdulla · Transactions of the American Mathematical Society · 2004 · 42 citations

Natural Sciences, Mechanical Engineering, Differential Equations +16

A Variational Approach to Evolution Problems with Variable Domains

Stefano Bonaccorsi, Giuseppina Guatteri · Journal of Differential Equations · 2001 · 39 citations · Full text

Natural Sciences, Mathematics, Finite Element Methods +11