POTENTIAL THEORY AND SCHAUDER ESTIMATE IN HÖLDER SPACES FOR (3 + 1)-DIMENSIONAL BENJAMIN–BONA–MAHONEY–BURGERS EQUATION ArticleKorpusov M.O., Yablochkin D.K.Computational Mathematics and Mathematical Physics. Том 61. 2021. С. 1289-1314
ON THE BLOW-UP OF THE SOLUTION AND ON THE LOCAL AND GLOBAL SOLVABILITY OF THE CAUCHY PROBLEM FOR A NONLINEAR EQUATION IN HÖLDER SPACES ArticleKorpusov M.O., Panin A.A.Journal of Mathematical Analysis and Applications. Том 504. 2021.
ON CRITICAL EXPONENTS FOR WEAK SOLUTIONS OF THE CAUCHY PROBLEM FOR A NON-LINEAR EQUATION OF COMPOSITE TYPE ArticleKorpusov M.O., Matveeva A.K.Izvestiya Mathematics. Том 85. 2021. С. 705-711
О КРИТИЧЕСКОМ ПОКАЗАТЕЛЕ “МГНОВЕННОЕ РАЗРУШЕНИЕ” VERSUS “ЛОКАЛЬНАЯ РАЗРЕШИМОСТЬ” В ЗАДАЧЕ КОШИ ДЛЯ МОДЕЛЬНОГО УРАВНЕНИЯ СОБОЛЕВСКОГО ТИПА ArticleКорпусов М.О., Панин А.А., Шишков А.Е.Известия Российской академии наук. Серия математическая. Том 85. 2021. С. 118-153
NONLINEAR EQUATIONS OF THE THEORY OF ION-SOUND PLASMA WAVES ArticleKorpusov M.O.Computational Mathematics and Mathematical Physics. Том 61. 2021. С. 1886-1894
ON THE CRITICAL EXPONENT "INSTANTANEOUS BLOW-UP" VERSUS "LOCAL SOLUBILITY" IN THE CAUCHY PROBLEM FOR A MODEL EQUATION OF SOBOLEV TYPE ArticleKorpusov M.O., Panin A.A., Shishkov A.E.Izvestiya Mathematics. Том 85. 2021. С. 111-144
LOCAL SOLVABILITY AND A PRIORI ESTIMATES FOR CLASSICAL SOLUTIONS TO AN EQUATION OF BENJAMIN-BONA-MAHONY-BÜRGERS TYPE ArticleKorpusov M.O., Lukyanenko D.V., Panin A.A.Mathematical Methods in the Applied Sciences. 2020.
ВЗРЫВНАЯ НЕУСТОЙЧИВОСТЬ В НЕЛИНЕЙНЫХ ВОЛНОВЫХ МОДЕЛЯХ С РАСПРЕДЕЛЕННЫМИ ПАРАМЕТРАМИ ArticleКорпусов М.О., Овсянников Е.А.Известия Российской академии наук. Серия математическая. Том 84. 2020. С. 15-70
BLOW-UP INSTABILITY IN NON-LINEAR WAVE MODELS WITH DISTRIBUTED PARAMETERS ArticleKorpusov M.O., Ovsyannikov E.A.Izvestiya Mathematics. Том 84. 2020. С. 449-501
BLOW-UP AND GLOBAL SOLUBILITY IN THE CLASSICAL SENSE OF THE CAUCHY PROBLEM FOR A FORMALLY HYPERBOLIC EQUATION WITH A NON-COERCIVE SOURCE ArticleKorpusov M.O.Izvestiya Mathematics. Том 84. 2020. С. 930-959
РАЗРУШЕНИЕ И ГЛОБАЛЬНАЯ РАЗРЕШИМОСТЬ В КЛАССИЧЕСКОМ СМЫСЛЕ ЗАДАЧИ КОШИ ДЛЯ ФОРМАЛЬНО ГИПЕРБОЛИЧЕСКОГО УРАВНЕНИЯ С НЕКОЭРЦИТИВНЫМ ИСТОЧНИКОМ ArticleКорпусов М.О.Известия Российской академии наук. Серия математическая. Том 84. 2020. С. 119-150
BLOW-UP FOR JOSEPH–EGRI EQUATION: THEORETICAL APPROACH AND NUMERICAL ANALYSIS ArticleKorpusov M.O., Lukyanenko D.V., Panin A.A.Mathematical Methods in the Applied Sciences. Том 43. 2020. С. 6771-6800
POTENTIAL THEORY FOR A NONLINEAR EQUATION OF THE BENJAMIN–BONA–MAHONEY–BURGERS TYPE ArticleKorpusov M.O., Yablochkin D.K.Computational Mathematics and Mathematical Physics. Том 59. 2019. С. 1848-1880
BLOW-UP OF SOLUTIONS OF NONCLASSICAL NONLOCAL NONLINEAR MODEL EQUATIONS ArticleKorpusov M.O.Computational Mathematics and Mathematical Physics. Том 59. 2019. С. 583-609
INSTANTANEOUS BLOW-UP VERSUS LOCAL SOLUBILITY OF THE CAUCHY PROBLEM FOR A TWO-DIMENSIONAL EQUATION OF A SEMICONDUCTOR WITH HEATING ArticleKorpusov M.O., Panin A.A.Известия Российской академии наук. Серия математическая. Том 83. 2019. С. 104-132
INSTANTANEOUS BLOW-UP VERSUS LOCAL SOLVABILITY OF SOLUTIONS TO THE CAUCHY PROBLEM FOR THE EQUATION OF A SEMICONDUCTOR IN A MAGNETIC FIELD ArticleKorpusov M.O., Panin A.A.Singular Problems, Blow-up, and Regimes with Peaking in Nonlinear PDEs. 2019. С. 35-36
BLOW-UP OF SOLUTIONS OF A FULL NON-LINEAR EQUATION OF ION-SOUND WAVES IN A PLASMA WITH NON-COERCIVE NON-LINEARITIES ArticleKorpusov M.O., Lukyanenko D.V., Panin A.A., Yushkov E.V.Izvestiya Mathematics. Том 82. 2018. С. 283-317