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The thermistor problem: Existence, smoothness, uniqueness, blowup. (English) Zbl 0808.35059

MSC:
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35K20 Initial-boundary value problems for second-order parabolic equations
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35B40 Asymptotic behavior of solutions to PDEs
35D10 Regularity of generalized solutions of PDE (MSC2000)
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