AIS Linear Partial Differential Equations (2017)

Venue:	Tata Institute of Fundamental Research CAM, Bangalore, Karnataka
Date:	19th, Jun 2017 to 8th, Jul 2017

School Convener(s)
Name	Prof. G.D. Veerappa Gowda	Dr. Ujjwal Koley
Mailing Address	TIFR Centre for Applicable Mathematics Post Bag No 6503, GKVK Post Office Bangalore- 560065	TIFR Centre for Applicable Mathematics Post Bag No 6503, GKVK Post Office Bangalore- 560065

Speakers and Syllabus

List of Speakers and topics covered :

1. Adimurthi, TIFR-CAM, Bangalore
Second order elliptic equations: Existence of weak solutions, Lax-Milgram theorem, Energy estimates, Fredholm alternative, Interior (boundary) regularity.

2. Agnid Banerjee, TIFR-CAM, Bangalore
Second order elliptic equations: Maximum principles, Weak and strong maximum principles, Harnack’s inequality, Eigenvalues of symmetric (non-symmetric) elliptic operators.

3. Imran Biswas , TIFR-CAM, Bangalore
Second order parabolic equations: Existence of weak solutions, Regularity, Maximum principles.

4. Shyam Ghoshal , TIFR-CAM, Bangalore
Heat equation: Fundamental Solution, Mean value formula, Properties of solutions, Energy methods.

5. Veerappa Gowda, TIFR-CAM, Bangalore
Wave equation: Solution by spherical means, Non-homogeneous problem, Energy methods.

6. K.T. Joseph, TIFR-CAM, Bangalore
Second order hyperbolic equations: Existence of weak solutions, Regularity, Propagation of disturbances, Equations in two variables.

7. Sandeep K, TIFR-CAM, Bangalore
First order PDE: Solutions by characteristics, Classification of 2nd order PDEs. Distribution theory, Sobolev spaces.

8.Ujjwal Koley, TIFR-CAM, Bangalore
Laplace’s equation: Fundamental solution, Mean value formulas, Properties of harmonic functions, Green’s function, Energy methods.

Time Table:

Day	Date	Lecture 1 (9.30–11.00)	Tea (11.05–11.25)	Lecturer 2 (11.30–1.00)	Lunch (1.05–2.25)	Tutorial (2.30–3.30)	Tea (3.35-3.55)	Tutorial (4.00-5.00)	Snacks 5.30
		(name of the speaker)		(name of the speaker)		(name of the speaker & tutor)		(Name of the speaker & Tutor)
Mon	June 19	SK		UK		SK		AR
Tues	June 20	SK		UK		SK		AR
Wed	June 21	SK		UK		AM		AR
Thu	June 22	SK		UK		AM		AR
Fri	June 23	GDV		UK		AM		AR
Sat	June 24	GDV		SG		AM		AR
Sunday : Off
Mon	June 26	GDV		SG		GDV		AR
Tues	June 27	GDV		SG		GDV		AR
Wed	June 28	AA		SG		AA		AR
Thu	June 29	AA		SG		AA		AR
Fri	June 30	AA		AB		AM		MV
Sat	July 01	AA		AB		AM		MV
Sunday : Off
Mon	July 03	KTJ		AB		AM		MV
Tues	July 04	KTJ		AB		AM		MV
Wed	July 05	IB		AB		KTJ		MV
Thu	July 06	IB		KTJ		KTJ		MV
Fri	July 07	IB		KTJ		AM		MV
Sat	July 08	IB		IB		AM		MV

Prof. Adi Adimurhti (AA)
Dr. Agnid Banerjee (AB)
Dr. Imran Biswas (IB)
Dr. Shyam Ghoshal (SG)
Prof. G. D. Veerappa Gowda (GDV)
Prof. Sandeep K (SK)
Prof. K. T. Joseph (KTJ)
Dr. Ujjwal Koley (UK)
Arka Mallick (AM)
Manmohan Vashisth (MV)
Arnab Roy (AR)

Actual Participants

Sr.	SID	Full Name	Gender	Affiliation	Position in College/ University	University/Institute M.Sc./M.A.	Year of Passing M.Sc./M.A	Ph.D. Deg Date
1	10751	Mr. Mahesh Krishna K	Male	NIT Karnataka Surathkal	PhD	Mangalore University	2014
2	10892	Ms Divyabharathi G	Female	Central University	PhD	Central University of Tamil Nadu M.Sc	2015
3	10919	Mr. Mukesh Kumar Rawani	Male	IIT Patna	PhD	Indian School Of Mines Dhanbad	2013
4	10993	Ms. Amita Soni	Female	NIT Rourkela	PhD	NIT Rourkela	2015
5	10999	Ms. Bandita Roy	Female	IIT Guwahati	PhD	IIT Guwahati	2013
6	11037	Dr. Govindaraj Venkatesan	Male	Indian Institute of Space Science and Technology	Post Doctoral Fellow	Bharathiar University	2010	8/28/2014
7	11048	Ms. Deiva Mani Nallasmy	Female	Periyar University	PhD	Bharathiar University	2010
8	11052	Mr Sowndarrajan P T	Male	National Institute Of Technology, Goa.	Ph.D	Bharathiar University	2013
9	11295	Mr. Nirjan Biswas	Male	IIT Madras.	PhD	University Of Calcutta.	2014
10	11406	Mr Samala Rathan	Male	VNIT Nagpur	PhD student	IIT Kharagpur	2013
11	11421	Mr Ajoy Jana	Male	Dept of Mathematics, IIT Madras	Phd Student	Dept of Pure Mathematics, University of Calcutta	2013
12	11469	Mr Muna Naik	Male	Indian Statistical Institute,Kolkata	PhD	NISER, Bhubaneswar	2013
13	11493	Ms. Ashlesha Ashutosh Bhise	Female	Visvesvaraya National Institute of Technology	PhD Student	IIT Kanpur	2016
14	11514	Mr. Sekhar Ghosh	Male	NIT Rourkela	PhD	UNIVERSITY OF HYDERABAD	2014
15	11611	Ms. Sneha Jaiswal	Female	MNNIT, Allahabad	Research Scholar	BHU,Varanasi	2014
16	11699	Ms. Samprita Das Roy	Female	IIT Madras	PhD	IIT Madras	2014
17	11739	Ms. Neetu Garg	Female	National Institute of Technology	PhD	Kurukshetra University, Kurukshetra	2007
18	11763	Ms. Narayani G	Female	Central University of Tamilnadu	PhD	Pondicherry University	2016
19	11784	Mr. Vaibhav Kumar Jena	Male	IISER-Kolkata	MS student	IISER, Kolkata	Awaiting Result
20	11804	Mr. Akashdeep Dey	Male	Chennai Mathematical Institute	MSc Student	M.Sc. in Mathematics at Chennai Mathematical Institute	Awaiting Result
21	11875	Mr. Arun Kumar Badajena	Male	NIT Rourkela	PhD	Ravenshaw University	2015
22	11970	Ms. Divya Goel	Female	Indian Institute of Technology Delhi	PhD	Indian Institute of Technology Delhi	2016
23	12168	Ms. Akasmika Panda	Female	National Institutes of Technology	Ph.D student	Utkal University,Bhubaneswar	2016
24	12206	Ms. Sangita Choudhary	Female	Savitribai Phule Pune University	Research scholar	Pune University	2012
25	12214	Mr. Ujjal Das	Male	The Institute of Mathematical Sciences	PhD Student	IIT Madras	2015
26	12308	Ms. Manju Yadav	Female	IIT KANPUR	M.Sc. Student	IIT Kanpur	2017
27	12337	Mr Anupam Sen	Male	Indian Institute of Technology Kharagpur	PhD	IIT Bombay	2014
28	12342	Ms. Namratha Jayaram Shenoy	Female	St Philomena college	Assistant professor	Mangalore University	2016
29	12390	Ms. Anuwedita Singh	Female	IIT(BHU), Varanasi	PhD	University Of Allahabad	2015
30	12504	Ms. Madhu Gupta	Female	IIT GANDHINAGAR	Phd	IIT BOMBAY	2015
31	12638	Ms. Soniya Dhama	Female	IIT, Mandi	PhD	IIT Delhi	2015
32	12694	Mr Kartikay Khari	Male	LNM Institute of Information Technology, Jaipur	PhD	South Asian University	2015
33	10824	Ms. Reshmi Biswas	Female	IIT GUWAHATI	PhD	University Of Hyderabad	2014
34	10928	Ms. Kirandeep Kour	Female	IIT Bhubaneswar	M.Sc. Student	IIT Bhubaneswar	Awaiting Result
35	10954	Ms. Manasa M	Female	NITK	PhD Student	Mangalore University	2013
36	10977	Ms. Diksha Tiwari	Female	IIT, PATNA	Research Scholar (PhD)	Indian Institute of Technology, Bhubaneswar	2016
37	11160	Ms R.Eswari - Rajendran	Female	Bharathidasan University,	Research scholar	Bharathidasan University	2012
38	11381	Ms. Lakshmipriya N	Female	Central University of Kerala	PhD	Central University of Kerala	2015

How to reach

* From Bangalore Internation Airport (Distance 28km)

You can hire a City taxi or private taxi from Airport to TIFR , Yelahanka new town.
Landmark : Yelahanka new town Dairy Circle

* From Bangalore City Railway Station or Majestic Bus Stand (Distance 16km)You can hire a City Taxi or Auto Rickshaw and ask drop for Yelahanka new town. The fare for City Taxi will be approximately Rs.400. For Auto Rickshaw fare will be approximately Rs.200.

You can also use BMTC Bus service to reach TIFR. You can board into following buses which comes to Yelahanka new town bus stand.

Buses to Yelahanka new town : 402B, 402D, 284D

TIFR CAM is located walkable distance from Yelahanka new town bus stand.

You may also visit the link below http://math.tifrbng.res.in/contactus for links to the route maps.