Establishes Fréchet differentiability of the control-to-state map, adjoint solvability, and first-order optimality conditions for distributed control of a fractional tumor growth system.
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3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2019 3verdicts
UNVERDICTED 3representative citing papers
Proves existence, uniqueness and regularity results for a fractional-power generalization of a Cahn-Hilliard tumor-growth system that admits singular logarithmic or double-obstacle potentials via a variational inequality formulation.
A phase-field model of prostate cancer growth incorporating chemotherapy and antiangiogenic effects is shown to be well-posed and to reproduce observed tumor morphologies and PSA trends in simulations.
citing papers explorer
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A distributed control problem for a fractional tumor growth model
Establishes Fréchet differentiability of the control-to-state map, adjoint solvability, and first-order optimality conditions for distributed control of a fractional tumor growth system.
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Well-posedness and regularity for a fractional tumor growth model
Proves existence, uniqueness and regularity results for a fractional-power generalization of a Cahn-Hilliard tumor-growth system that admits singular logarithmic or double-obstacle potentials via a variational inequality formulation.
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Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
A phase-field model of prostate cancer growth incorporating chemotherapy and antiangiogenic effects is shown to be well-posed and to reproduce observed tumor morphologies and PSA trends in simulations.